What is the Greatest Common Factor of 64725 and 64745?

Greatest common factor (GCF) of 64725 and 64745 is 5.

GCF(64725,64745) = 5

We will now calculate the prime factors of 64725 and 64745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64725 and 64745.

How to find the GCF of 64725 and 64745?

We will first find the prime factorization of 64725 and 64745. After we will calculate the factors of 64725 and 64745 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 64745

Prime factors of 64745 are 5, 23, 563. Prime factorization of 64745 in exponential form is:

64745 = 5¹ × 23¹ × 563¹

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 64745

List of positive integer factors of 64745 that divides 64725 without a remainder.

1, 5, 23, 115, 563, 2815, 12949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64725 and 64745. The biggest common factor number is the GCF number.
So the greatest common factor 64725 and 64745 is 5.

Also check out the Least Common Multiple of 64725 and 64745