GCF of 144 and 160 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 144 and 160?

Answer

GCF of 144 and 160 is
16

(Sixteen)

Finding GCF for 144 and 160 using all factors (divisors) listing

The first method to find GCF for numbers 144 and 160 is to list all factors for both numbers and pick the highest common one:

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

All factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

So the Greatest Common Factor for 144 and 160 is 16

Finding GCF for 144 and 160 by Prime Factorization

The second method to find GCF for numbers 144 and 160 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

All Prime Factors of 160: 2, 2, 2, 2, 2, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

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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 144 and 160? (The answer is: 16). Select the first number (e.g. '144') and the second number (e.g. '160'). 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
1441451
1441462
1441473
1441484
1441491
1441506
1441511
1441528
1441539
1441542
1441551
14415612
1441571
1441582
1441593
14416016
1441611
14416218
1441631
1441644
1441653
1441662
1441671
14416824
1441691
1441702
1441719
1441724
1441731
1441746

FAQ

What is the Greatest Common Divisor of 144 and 160?

GCF of 144 and 160 is 16

How to find the GCF of 144 and 160?

You can find the GCF of 144 and 160 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 160 is 16.

What prime factors do 144 and 160 share?

The prime factorizations of 144 and 160 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 144/160?

Divide the numerator and the denominator by the GCF 16: 144 ÷ 16 = 9 and 160 ÷ 16 = 10. So 144/160 in lowest terms is 9/10.

See Also