GCF for 168 and 252

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

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
1532529
15425214
1552521
15625212
1572521
1582522
1592523
1602524
1612527
16225218
1632521
1642524
1652523
1662522
1672521
16825284
1692521
1702522
1712529
1722524
1732521
1742526
1752527
1762524
1772523
1782522
1792521
18025236
1812521
18225214

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.

See Also