GCF of 168 and 252 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
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What is the Greatest Common Divisor of 168 and 252?

Answer

GCF of 168 and 252 is
84

(Eighty-four)

Finding GCF for 168 and 252 using all factors (divisors) listing

The first method to find GCF for numbers 168 and 252 is to list all factors for both numbers and pick the highest common one:

All factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

All factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

So the Greatest Common Factor for 168 and 252 is 84

Finding GCF for 168 and 252 by Prime Factorization

The second method to find GCF for numbers 168 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 168: 2, 2, 2, 3, 7

All Prime Factors of 252: 2, 2, 3, 3, 7

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 7

Now we need to multiply them to find GCF: 2 × 2 × 3 × 7 = 84

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 168 and 252? (The answer is: 84). Select the first number (e.g. '168') and the second number (e.g. '252'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
1682373
16823814
1682391
16824024
1682411
1682422
1682433
1682444
1682457
1682466
1682471
1682488
1682493
1682502
1682511
16825284
1682531
1682542
1682553
1682568
1682571
1682586
1682597
1682604
1682613
1682622
1682631
16826424
1682651
16826614

FAQ

What is the Greatest Common Divisor of 168 and 252?

GCF of 168 and 252 is 84

How to find the GCF of 168 and 252?

You can find the GCF of 168 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 168 and 252 is 84.

What prime factors do 168 and 252 share?

The prime factorizations of 168 and 252 have 2 × 2 × 3 × 7 in common, and multiplying those shared primes gives 84 — exactly the greatest common factor.

How does the GCF reduce the fraction 168/252?

Divide the numerator and the denominator by the GCF 84: 168 ÷ 84 = 2 and 252 ÷ 84 = 3. So 168/252 in lowest terms is 2/3.

See Also