What is the Greatest Common Factor of 64638 and 64652?

Greatest common factor (GCF) of 64638 and 64652 is 14.

GCF(64638,64652) = 14

We will now calculate the prime factors of 64638 and 64652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64638 and 64652.

How to find the GCF of 64638 and 64652?

We will first find the prime factorization of 64638 and 64652. After we will calculate the factors of 64638 and 64652 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 64652

Prime factors of 64652 are 2, 7, 2309. Prime factorization of 64652 in exponential form is:

64652 = 2² × 7¹ × 2309¹

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 64652

List of positive integer factors of 64652 that divides 64638 without a remainder.

1, 2, 4, 7, 14, 28, 2309, 4618, 9236, 16163, 32326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64638 and 64652. The biggest common factor number is the GCF number.
So the greatest common factor 64638 and 64652 is 14.

Also check out the Least Common Multiple of 64638 and 64652