What is the Greatest Common Factor of 64278 and 64296?

Greatest common factor (GCF) of 64278 and 64296 is 18.

GCF(64278,64296) = 18

We will now calculate the prime factors of 64278 and 64296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64278 and 64296.

How to find the GCF of 64278 and 64296?

We will first find the prime factorization of 64278 and 64296. After we will calculate the factors of 64278 and 64296 and find the biggest common factor number .

Step-1: Prime Factorization of 64278

Prime factors of 64278 are 2, 3, 3571. Prime factorization of 64278 in exponential form is:

64278 = 2¹ × 3² × 3571¹

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 64278

List of positive integer factors of 64278 that divides 64278 without a remainder.

1, 2, 3, 6, 9, 18, 3571, 7142, 10713, 21426, 32139

Step-4: Factors of 64296

List of positive integer factors of 64296 that divides 64278 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 64278 and 64296. The biggest common factor number is the GCF number.
So the greatest common factor 64278 and 64296 is 18.

Also check out the Least Common Multiple of 64278 and 64296