What is the Greatest Common Factor of 64274 and 64288?

Greatest common factor (GCF) of 64274 and 64288 is 14.

GCF(64274,64288) = 14

We will now calculate the prime factors of 64274 and 64288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64274 and 64288.

How to find the GCF of 64274 and 64288?

We will first find the prime factorization of 64274 and 64288. After we will calculate the factors of 64274 and 64288 and find the biggest common factor number .

Step-1: Prime Factorization of 64274

Prime factors of 64274 are 2, 7, 4591. Prime factorization of 64274 in exponential form is:

64274 = 2¹ × 7¹ × 4591¹

Step-2: Prime Factorization of 64288

Prime factors of 64288 are 2, 7, 41. Prime factorization of 64288 in exponential form is:

64288 = 2⁵ × 7² × 41¹

Step-3: Factors of 64274

List of positive integer factors of 64274 that divides 64274 without a remainder.

1, 2, 7, 14, 4591, 9182, 32137

Step-4: Factors of 64288

List of positive integer factors of 64288 that divides 64274 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 49, 56, 82, 98, 112, 164, 196, 224, 287, 328, 392, 574, 656, 784, 1148, 1312, 1568, 2009, 2296, 4018, 4592, 8036, 9184, 16072, 32144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64274 and 64288. The biggest common factor number is the GCF number.
So the greatest common factor 64274 and 64288 is 14.

Also check out the Least Common Multiple of 64274 and 64288