What is the Greatest Common Factor of 64995 and 65013?

Greatest common factor (GCF) of 64995 and 65013 is 3.

GCF(64995,65013) = 3

We will now calculate the prime factors of 64995 and 65013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64995 and 65013.

How to find the GCF of 64995 and 65013?

We will first find the prime factorization of 64995 and 65013. After we will calculate the factors of 64995 and 65013 and find the biggest common factor number .

Step-1: Prime Factorization of 64995

Prime factors of 64995 are 3, 5, 7, 619. Prime factorization of 64995 in exponential form is:

64995 = 3¹ × 5¹ × 7¹ × 619¹

Step-2: Prime Factorization of 65013

Prime factors of 65013 are 3, 13, 1667. Prime factorization of 65013 in exponential form is:

65013 = 3¹ × 13¹ × 1667¹

Step-3: Factors of 64995

List of positive integer factors of 64995 that divides 64995 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 619, 1857, 3095, 4333, 9285, 12999, 21665

Step-4: Factors of 65013

List of positive integer factors of 65013 that divides 64995 without a remainder.

1, 3, 13, 39, 1667, 5001, 21671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64995 and 65013. The biggest common factor number is the GCF number.
So the greatest common factor 64995 and 65013 is 3.

Also check out the Least Common Multiple of 64995 and 65013