What is the Greatest Common Factor of 64296 and 64312?

Greatest common factor (GCF) of 64296 and 64312 is 8.

GCF(64296,64312) = 8

We will now calculate the prime factors of 64296 and 64312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64296 and 64312.

How to find the GCF of 64296 and 64312?

We will first find the prime factorization of 64296 and 64312. After we will calculate the factors of 64296 and 64312 and find the biggest common factor number .

Step-1: Prime Factorization of 64296

Prime factors of 64296 are 2, 3, 19, 47. Prime factorization of 64296 in exponential form is:

64296 = 2³ × 3² × 19¹ × 47¹

Step-2: Prime Factorization of 64312

Prime factors of 64312 are 2, 8039. Prime factorization of 64312 in exponential form is:

64312 = 2³ × 8039¹

Step-3: Factors of 64296

List of positive integer factors of 64296 that divides 64296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 47, 57, 72, 76, 94, 114, 141, 152, 171, 188, 228, 282, 342, 376, 423, 456, 564, 684, 846, 893, 1128, 1368, 1692, 1786, 2679, 3384, 3572, 5358, 7144, 8037, 10716, 16074, 21432, 32148

Step-4: Factors of 64312

List of positive integer factors of 64312 that divides 64296 without a remainder.

1, 2, 4, 8, 8039, 16078, 32156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64296 and 64312. The biggest common factor number is the GCF number.
So the greatest common factor 64296 and 64312 is 8.

Also check out the Least Common Multiple of 64296 and 64312