What is the Greatest Common Factor of 64296 and 64315?

Greatest common factor (GCF) of 64296 and 64315 is 19.

GCF(64296,64315) = 19

We will now calculate the prime factors of 64296 and 64315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64296 and 64315.

How to find the GCF of 64296 and 64315?

We will first find the prime factorization of 64296 and 64315. After we will calculate the factors of 64296 and 64315 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 64315

Prime factors of 64315 are 5, 19, 677. Prime factorization of 64315 in exponential form is:

64315 = 5¹ × 19¹ × 677¹

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 64315

List of positive integer factors of 64315 that divides 64296 without a remainder.

1, 5, 19, 95, 677, 3385, 12863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64296 and 64315. The biggest common factor number is the GCF number.
So the greatest common factor 64296 and 64315 is 19.

Also check out the Least Common Multiple of 64296 and 64315