What is the Greatest Common Factor of 64965 and 64971?

Greatest common factor (GCF) of 64965 and 64971 is 3.

GCF(64965,64971) = 3

We will now calculate the prime factors of 64965 and 64971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64965 and 64971.

How to find the GCF of 64965 and 64971?

We will first find the prime factorization of 64965 and 64971. After we will calculate the factors of 64965 and 64971 and find the biggest common factor number .

Step-1: Prime Factorization of 64965

Prime factors of 64965 are 3, 5, 61, 71. Prime factorization of 64965 in exponential form is:

64965 = 3¹ × 5¹ × 61¹ × 71¹

Step-2: Prime Factorization of 64971

Prime factors of 64971 are 3, 7219. Prime factorization of 64971 in exponential form is:

64971 = 3² × 7219¹

Step-3: Factors of 64965

List of positive integer factors of 64965 that divides 64965 without a remainder.

1, 3, 5, 15, 61, 71, 183, 213, 305, 355, 915, 1065, 4331, 12993, 21655

Step-4: Factors of 64971

List of positive integer factors of 64971 that divides 64965 without a remainder.

1, 3, 9, 7219, 21657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64965 and 64971. The biggest common factor number is the GCF number.
So the greatest common factor 64965 and 64971 is 3.

Also check out the Least Common Multiple of 64965 and 64971