What is the Greatest Common Factor of 74624 and 74638?

Greatest common factor (GCF) of 74624 and 74638 is 2.

GCF(74624,74638) = 2

We will now calculate the prime factors of 74624 and 74638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74624 and 74638.

How to find the GCF of 74624 and 74638?

We will first find the prime factorization of 74624 and 74638. After we will calculate the factors of 74624 and 74638 and find the biggest common factor number .

Step-1: Prime Factorization of 74624

Prime factors of 74624 are 2, 11, 53. Prime factorization of 74624 in exponential form is:

74624 = 2⁷ × 11¹ × 53¹

Step-2: Prime Factorization of 74638

Prime factors of 74638 are 2, 67, 557. Prime factorization of 74638 in exponential form is:

74638 = 2¹ × 67¹ × 557¹

Step-3: Factors of 74624

List of positive integer factors of 74624 that divides 74624 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 53, 64, 88, 106, 128, 176, 212, 352, 424, 583, 704, 848, 1166, 1408, 1696, 2332, 3392, 4664, 6784, 9328, 18656, 37312

Step-4: Factors of 74638

List of positive integer factors of 74638 that divides 74624 without a remainder.

1, 2, 67, 134, 557, 1114, 37319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74624 and 74638. The biggest common factor number is the GCF number.
So the greatest common factor 74624 and 74638 is 2.

Also check out the Least Common Multiple of 74624 and 74638