What is the Greatest Common Factor of 73627 and 73644?

Greatest common factor (GCF) of 73627 and 73644 is 17.

GCF(73627,73644) = 17

We will now calculate the prime factors of 73627 and 73644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73627 and 73644.

How to find the GCF of 73627 and 73644?

We will first find the prime factorization of 73627 and 73644. After we will calculate the factors of 73627 and 73644 and find the biggest common factor number .

Step-1: Prime Factorization of 73627

Prime factors of 73627 are 17, 61, 71. Prime factorization of 73627 in exponential form is:

73627 = 17¹ × 61¹ × 71¹

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 73627

List of positive integer factors of 73627 that divides 73627 without a remainder.

1, 17, 61, 71, 1037, 1207, 4331

Step-4: Factors of 73644

List of positive integer factors of 73644 that divides 73627 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 73627 and 73644. The biggest common factor number is the GCF number.
So the greatest common factor 73627 and 73644 is 17.

Also check out the Least Common Multiple of 73627 and 73644