What is the Greatest Common Factor of 64288 and 64296?

Greatest common factor (GCF) of 64288 and 64296 is 8.

GCF(64288,64296) = 8

We will now calculate the prime factors of 64288 and 64296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64288 and 64296.

How to find the GCF of 64288 and 64296?

We will first find the prime factorization of 64288 and 64296. After we will calculate the factors of 64288 and 64296 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 64296

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

64296 = 2³ × 3² × 19¹ × 47¹

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 64296

List of positive integer factors of 64296 that divides 64288 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64288 and 64296. The biggest common factor number is the GCF number.
So the greatest common factor 64288 and 64296 is 8.

Also check out the Least Common Multiple of 64288 and 64296