What is the Greatest Common Factor of 73652 and 73656?

Greatest common factor (GCF) of 73652 and 73656 is 4.

GCF(73652,73656) = 4

We will now calculate the prime factors of 73652 and 73656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73652 and 73656.

How to find the GCF of 73652 and 73656?

We will first find the prime factorization of 73652 and 73656. After we will calculate the factors of 73652 and 73656 and find the biggest common factor number .

Step-1: Prime Factorization of 73652

Prime factors of 73652 are 2, 18413. Prime factorization of 73652 in exponential form is:

73652 = 2² × 18413¹

Step-2: Prime Factorization of 73656

Prime factors of 73656 are 2, 3, 11, 31. Prime factorization of 73656 in exponential form is:

73656 = 2³ × 3³ × 11¹ × 31¹

Step-3: Factors of 73652

List of positive integer factors of 73652 that divides 73652 without a remainder.

1, 2, 4, 18413, 36826

Step-4: Factors of 73656

List of positive integer factors of 73656 that divides 73652 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 31, 33, 36, 44, 54, 62, 66, 72, 88, 93, 99, 108, 124, 132, 186, 198, 216, 248, 264, 279, 297, 341, 372, 396, 558, 594, 682, 744, 792, 837, 1023, 1116, 1188, 1364, 1674, 2046, 2232, 2376, 2728, 3069, 3348, 4092, 6138, 6696, 8184, 9207, 12276, 18414, 24552, 36828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73652 and 73656. The biggest common factor number is the GCF number.
So the greatest common factor 73652 and 73656 is 4.

Also check out the Least Common Multiple of 73652 and 73656