What is the Greatest Common Factor of 64725 and 64730?

Greatest common factor (GCF) of 64725 and 64730 is 5.

GCF(64725,64730) = 5

We will now calculate the prime factors of 64725 and 64730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64725 and 64730.

How to find the GCF of 64725 and 64730?

We will first find the prime factorization of 64725 and 64730. After we will calculate the factors of 64725 and 64730 and find the biggest common factor number .

Step-1: Prime Factorization of 64725

Prime factors of 64725 are 3, 5, 863. Prime factorization of 64725 in exponential form is:

64725 = 3¹ × 5² × 863¹

Step-2: Prime Factorization of 64730

Prime factors of 64730 are 2, 5, 6473. Prime factorization of 64730 in exponential form is:

64730 = 2¹ × 5¹ × 6473¹

Step-3: Factors of 64725

List of positive integer factors of 64725 that divides 64725 without a remainder.

1, 3, 5, 15, 25, 75, 863, 2589, 4315, 12945, 21575

Step-4: Factors of 64730

List of positive integer factors of 64730 that divides 64725 without a remainder.

1, 2, 5, 10, 6473, 12946, 32365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64725 and 64730. The biggest common factor number is the GCF number.
So the greatest common factor 64725 and 64730 is 5.

Also check out the Least Common Multiple of 64725 and 64730