What is the Greatest Common Factor of 64284 and 64296?

Greatest common factor (GCF) of 64284 and 64296 is 12.

GCF(64284,64296) = 12

We will now calculate the prime factors of 64284 and 64296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64284 and 64296.

How to find the GCF of 64284 and 64296?

We will first find the prime factorization of 64284 and 64296. After we will calculate the factors of 64284 and 64296 and find the biggest common factor number .

Step-1: Prime Factorization of 64284

Prime factors of 64284 are 2, 3, 11, 487. Prime factorization of 64284 in exponential form is:

64284 = 2² × 3¹ × 11¹ × 487¹

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 64284

List of positive integer factors of 64284 that divides 64284 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 487, 974, 1461, 1948, 2922, 5357, 5844, 10714, 16071, 21428, 32142

Step-4: Factors of 64296

List of positive integer factors of 64296 that divides 64284 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 64284 and 64296. The biggest common factor number is the GCF number.
So the greatest common factor 64284 and 64296 is 12.

Also check out the Least Common Multiple of 64284 and 64296