What is the Greatest Common Factor of 64638 and 64644?

Greatest common factor (GCF) of 64638 and 64644 is 6.

GCF(64638,64644) = 6

We will now calculate the prime factors of 64638 and 64644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64638 and 64644.

How to find the GCF of 64638 and 64644?

We will first find the prime factorization of 64638 and 64644. After we will calculate the factors of 64638 and 64644 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 64644

Prime factors of 64644 are 2, 3, 5387. Prime factorization of 64644 in exponential form is:

64644 = 2² × 3¹ × 5387¹

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 64644

List of positive integer factors of 64644 that divides 64638 without a remainder.

1, 2, 3, 4, 6, 12, 5387, 10774, 16161, 21548, 32322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64638 and 64644. The biggest common factor number is the GCF number.
So the greatest common factor 64638 and 64644 is 6.

Also check out the Least Common Multiple of 64638 and 64644