GCF for 64 and 144

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

See Also

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

GCF Table

Number 1Number 2GCF
491441
501442
511443
521444
531441
54144
551441
561448
571443
581442
591441
60144
611441
621442
631449
64144
651441
661446
671441
681444
691443
701442
711441
7214472
731441
741442
751443
761444
771441
781446

FAQ

What is the Greatest common Divisor of 64 and 144?

GCF of 64 and 144 is 16