What is the Greatest Common Factor of 64705 and 64720?

Greatest common factor (GCF) of 64705 and 64720 is 5.

GCF(64705,64720) = 5

We will now calculate the prime factors of 64705 and 64720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64705 and 64720.

How to find the GCF of 64705 and 64720?

We will first find the prime factorization of 64705 and 64720. After we will calculate the factors of 64705 and 64720 and find the biggest common factor number .

Step-1: Prime Factorization of 64705

Prime factors of 64705 are 5, 12941. Prime factorization of 64705 in exponential form is:

64705 = 5¹ × 12941¹

Step-2: Prime Factorization of 64720

Prime factors of 64720 are 2, 5, 809. Prime factorization of 64720 in exponential form is:

64720 = 2⁴ × 5¹ × 809¹

Step-3: Factors of 64705

List of positive integer factors of 64705 that divides 64705 without a remainder.

1, 5, 12941

Step-4: Factors of 64720

List of positive integer factors of 64720 that divides 64705 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 809, 1618, 3236, 4045, 6472, 8090, 12944, 16180, 32360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64705 and 64720. The biggest common factor number is the GCF number.
So the greatest common factor 64705 and 64720 is 5.

Also check out the Least Common Multiple of 64705 and 64720