What is the Greatest Common Factor of 73638 and 73656?

Greatest common factor (GCF) of 73638 and 73656 is 18.

GCF(73638,73656) = 18

We will now calculate the prime factors of 73638 and 73656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73638 and 73656.

How to find the GCF of 73638 and 73656?

We will first find the prime factorization of 73638 and 73656. After we will calculate the factors of 73638 and 73656 and find the biggest common factor number .

Step-1: Prime Factorization of 73638

Prime factors of 73638 are 2, 3, 4091. Prime factorization of 73638 in exponential form is:

73638 = 2¹ × 3² × 4091¹

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 73638

List of positive integer factors of 73638 that divides 73638 without a remainder.

1, 2, 3, 6, 9, 18, 4091, 8182, 12273, 24546, 36819

Step-4: Factors of 73656

List of positive integer factors of 73656 that divides 73638 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 73638 and 73656. The biggest common factor number is the GCF number.
So the greatest common factor 73638 and 73656 is 18.

Also check out the Least Common Multiple of 73638 and 73656