What is the Greatest Common Factor of 74624 and 74639?

Greatest common factor (GCF) of 74624 and 74639 is 1.

GCF(74624,74639) = 1

We will now calculate the prime factors of 74624 and 74639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74624 and 74639.

How to find the GCF of 74624 and 74639?

We will first find the prime factorization of 74624 and 74639. After we will calculate the factors of 74624 and 74639 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 74639

Prime factors of 74639 are 101, 739. Prime factorization of 74639 in exponential form is:

74639 = 101¹ × 739¹

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 74639

List of positive integer factors of 74639 that divides 74624 without a remainder.

1, 101, 739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74624 and 74639. The biggest common factor number is the GCF number.
So the greatest common factor 74624 and 74639 is 1.

Also check out the Least Common Multiple of 74624 and 74639