What is the Greatest Common Factor of 73632 and 73644?

Greatest common factor (GCF) of 73632 and 73644 is 12.

GCF(73632,73644) = 12

We will now calculate the prime factors of 73632 and 73644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73632 and 73644.

How to find the GCF of 73632 and 73644?

We will first find the prime factorization of 73632 and 73644. After we will calculate the factors of 73632 and 73644 and find the biggest common factor number .

Step-1: Prime Factorization of 73632

Prime factors of 73632 are 2, 3, 13, 59. Prime factorization of 73632 in exponential form is:

73632 = 2⁵ × 3¹ × 13¹ × 59¹

Step-2: Prime Factorization of 73644

Prime factors of 73644 are 2, 3, 17, 19. Prime factorization of 73644 in exponential form is:

73644 = 2² × 3¹ × 17¹ × 19²

Step-3: Factors of 73632

List of positive integer factors of 73632 that divides 73632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 59, 78, 96, 104, 118, 156, 177, 208, 236, 312, 354, 416, 472, 624, 708, 767, 944, 1248, 1416, 1534, 1888, 2301, 2832, 3068, 4602, 5664, 6136, 9204, 12272, 18408, 24544, 36816

Step-4: Factors of 73644

List of positive integer factors of 73644 that divides 73632 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 361, 646, 722, 969, 1083, 1292, 1444, 1938, 2166, 3876, 4332, 6137, 12274, 18411, 24548, 36822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73632 and 73644. The biggest common factor number is the GCF number.
So the greatest common factor 73632 and 73644 is 12.

Also check out the Least Common Multiple of 73632 and 73644