What is the Greatest Common Factor of 64638 and 64656?

Greatest common factor (GCF) of 64638 and 64656 is 18.

GCF(64638,64656) = 18

We will now calculate the prime factors of 64638 and 64656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64638 and 64656.

How to find the GCF of 64638 and 64656?

We will first find the prime factorization of 64638 and 64656. After we will calculate the factors of 64638 and 64656 and find the biggest common factor number .

Step-1: Prime Factorization of 64638

Prime factors of 64638 are 2, 3, 7, 19. Prime factorization of 64638 in exponential form is:

64638 = 2¹ × 3⁵ × 7¹ × 19¹

Step-2: Prime Factorization of 64656

Prime factors of 64656 are 2, 3, 449. Prime factorization of 64656 in exponential form is:

64656 = 2⁴ × 3² × 449¹

Step-3: Factors of 64638

List of positive integer factors of 64638 that divides 64638 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 81, 114, 126, 133, 162, 171, 189, 243, 266, 342, 378, 399, 486, 513, 567, 798, 1026, 1134, 1197, 1539, 1701, 2394, 3078, 3402, 3591, 4617, 7182, 9234, 10773, 21546, 32319

Step-4: Factors of 64656

List of positive integer factors of 64656 that divides 64638 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 449, 898, 1347, 1796, 2694, 3592, 4041, 5388, 7184, 8082, 10776, 16164, 21552, 32328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64638 and 64656. The biggest common factor number is the GCF number.
So the greatest common factor 64638 and 64656 is 18.

Also check out the Least Common Multiple of 64638 and 64656