What is the Greatest Common Factor of 73656 and 73662?

Greatest common factor (GCF) of 73656 and 73662 is 6.

GCF(73656,73662) = 6

We will now calculate the prime factors of 73656 and 73662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73656 and 73662.

How to find the GCF of 73656 and 73662?

We will first find the prime factorization of 73656 and 73662. After we will calculate the factors of 73656 and 73662 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73662

Prime factors of 73662 are 2, 3, 12277. Prime factorization of 73662 in exponential form is:

73662 = 2¹ × 3¹ × 12277¹

Step-3: Factors of 73656

List of positive integer factors of 73656 that divides 73656 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

Step-4: Factors of 73662

List of positive integer factors of 73662 that divides 73656 without a remainder.

1, 2, 3, 6, 12277, 24554, 36831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73656 and 73662. The biggest common factor number is the GCF number.
So the greatest common factor 73656 and 73662 is 6.

Also check out the Least Common Multiple of 73656 and 73662