What is the Greatest Common Factor of 64965 and 64985?

Greatest common factor (GCF) of 64965 and 64985 is 5.

GCF(64965,64985) = 5

We will now calculate the prime factors of 64965 and 64985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64965 and 64985.

How to find the GCF of 64965 and 64985?

We will first find the prime factorization of 64965 and 64985. After we will calculate the factors of 64965 and 64985 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 64985

Prime factors of 64985 are 5, 41, 317. Prime factorization of 64985 in exponential form is:

64985 = 5¹ × 41¹ × 317¹

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 64985

List of positive integer factors of 64985 that divides 64965 without a remainder.

1, 5, 41, 205, 317, 1585, 12997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64965 and 64985. The biggest common factor number is the GCF number.
So the greatest common factor 64965 and 64985 is 5.

Also check out the Least Common Multiple of 64965 and 64985