What is the Greatest Common Factor of 64935 and 64948?

Greatest common factor (GCF) of 64935 and 64948 is 13.

GCF(64935,64948) = 13

We will now calculate the prime factors of 64935 and 64948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64935 and 64948.

How to find the GCF of 64935 and 64948?

We will first find the prime factorization of 64935 and 64948. After we will calculate the factors of 64935 and 64948 and find the biggest common factor number .

Step-1: Prime Factorization of 64935

Prime factors of 64935 are 3, 5, 13, 37. Prime factorization of 64935 in exponential form is:

64935 = 3³ × 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 64948

Prime factors of 64948 are 2, 13, 1249. Prime factorization of 64948 in exponential form is:

64948 = 2² × 13¹ × 1249¹

Step-3: Factors of 64935

List of positive integer factors of 64935 that divides 64935 without a remainder.

1, 3, 5, 9, 13, 15, 27, 37, 39, 45, 65, 111, 117, 135, 185, 195, 333, 351, 481, 555, 585, 999, 1443, 1665, 1755, 2405, 4329, 4995, 7215, 12987, 21645

Step-4: Factors of 64948

List of positive integer factors of 64948 that divides 64935 without a remainder.

1, 2, 4, 13, 26, 52, 1249, 2498, 4996, 16237, 32474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64935 and 64948. The biggest common factor number is the GCF number.
So the greatest common factor 64935 and 64948 is 13.

Also check out the Least Common Multiple of 64935 and 64948