What is the Greatest Common Factor of 64288 and 64308?

Greatest common factor (GCF) of 64288 and 64308 is 4.

GCF(64288,64308) = 4

We will now calculate the prime factors of 64288 and 64308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64308.

How to find the GCF of 64288 and 64308?

We will first find the prime factorization of 64288 and 64308. After we will calculate the factors of 64288 and 64308 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64308

Prime factors of 64308 are 2, 3, 23, 233. Prime factorization of 64308 in exponential form is:

64308 = 2² × 3¹ × 23¹ × 233¹

Step-3: Factors of 64288

List of positive integer factors of 64288 that divides 64288 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

Step-4: Factors of 64308

List of positive integer factors of 64308 that divides 64288 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 233, 276, 466, 699, 932, 1398, 2796, 5359, 10718, 16077, 21436, 32154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64308. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64308 is 4.

Also check out the Least Common Multiple of 64288 and 64308