GCF of 64 and 144 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 64 and 144?

Answer

GCF of 64 and 144 is
16

(Sixteen)

Finding GCF for 64 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 144 is to list all factors for both numbers and pick the highest common one:

All factors of 64: 1, 2, 4, 8, 16, 32, 64

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

So the Greatest Common Factor for 64 and 144 is 16

Finding GCF for 64 and 144 by Prime Factorization

The second method to find GCF for numbers 64 and 144 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

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

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 64 and 144? (The answer is: 16). Select the first number (e.g. '64') and the second number (e.g. '144'). 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
641291
641302
641311
641324
641331
641342
641351
641368
641371
641382
641391
641404
641411
641422
641431
6414416
641451
641462
641471
641484
641491
641502
641511
641528
641531
641542
641551
641564
641571
641582

FAQ

What is the Greatest Common Divisor of 64 and 144?

GCF of 64 and 144 is 16

How to find the GCF of 64 and 144?

You can find the GCF of 64 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 144 is 16.

What prime factors do 64 and 144 share?

The prime factorizations of 64 and 144 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 64/144?

Divide the numerator and the denominator by the GCF 16: 64 ÷ 16 = 4 and 144 ÷ 16 = 9. So 64/144 in lowest terms is 4/9.

See Also