What is the Greatest Common Factor of 74624 and 74632?

Greatest common factor (GCF) of 74624 and 74632 is 8.

GCF(74624,74632) = 8

We will now calculate the prime factors of 74624 and 74632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74624 and 74632.

How to find the GCF of 74624 and 74632?

We will first find the prime factorization of 74624 and 74632. After we will calculate the factors of 74624 and 74632 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 74632

Prime factors of 74632 are 2, 19, 491. Prime factorization of 74632 in exponential form is:

74632 = 2³ × 19¹ × 491¹

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 74632

List of positive integer factors of 74632 that divides 74624 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 491, 982, 1964, 3928, 9329, 18658, 37316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74624 and 74632. The biggest common factor number is the GCF number.
So the greatest common factor 74624 and 74632 is 8.

Also check out the Least Common Multiple of 74624 and 74632