What is the Greatest Common Factor of 74624 and 74644?

Greatest common factor (GCF) of 74624 and 74644 is 4.

GCF(74624,74644) = 4

We will now calculate the prime factors of 74624 and 74644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74624 and 74644.

How to find the GCF of 74624 and 74644?

We will first find the prime factorization of 74624 and 74644. After we will calculate the factors of 74624 and 74644 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 74644

Prime factors of 74644 are 2, 18661. Prime factorization of 74644 in exponential form is:

74644 = 2² × 18661¹

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 74644

List of positive integer factors of 74644 that divides 74624 without a remainder.

1, 2, 4, 18661, 37322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74624 and 74644. The biggest common factor number is the GCF number.
So the greatest common factor 74624 and 74644 is 4.

Also check out the Least Common Multiple of 74624 and 74644