What is the Greatest Common Factor of 74604 and 74624?

Greatest common factor (GCF) of 74604 and 74624 is 4.

GCF(74604,74624) = 4

We will now calculate the prime factors of 74604 and 74624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74604 and 74624.

How to find the GCF of 74604 and 74624?

We will first find the prime factorization of 74604 and 74624. After we will calculate the factors of 74604 and 74624 and find the biggest common factor number .

Step-1: Prime Factorization of 74604

Prime factors of 74604 are 2, 3, 6217. Prime factorization of 74604 in exponential form is:

74604 = 2² × 3¹ × 6217¹

Step-2: 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-3: Factors of 74604

List of positive integer factors of 74604 that divides 74604 without a remainder.

1, 2, 3, 4, 6, 12, 6217, 12434, 18651, 24868, 37302

Step-4: Factors of 74624

List of positive integer factors of 74624 that divides 74604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74604 and 74624. The biggest common factor number is the GCF number.
So the greatest common factor 74604 and 74624 is 4.

Also check out the Least Common Multiple of 74604 and 74624