What is the Greatest Common Factor of 73612 and 73627?

Greatest common factor (GCF) of 73612 and 73627 is 1.

GCF(73612,73627) = 1

We will now calculate the prime factors of 73612 and 73627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73612 and 73627.

How to find the GCF of 73612 and 73627?

We will first find the prime factorization of 73612 and 73627. After we will calculate the factors of 73612 and 73627 and find the biggest common factor number .

Step-1: Prime Factorization of 73612

Prime factors of 73612 are 2, 7, 11, 239. Prime factorization of 73612 in exponential form is:

73612 = 2² × 7¹ × 11¹ × 239¹

Step-2: 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-3: Factors of 73612

List of positive integer factors of 73612 that divides 73612 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 239, 308, 478, 956, 1673, 2629, 3346, 5258, 6692, 10516, 18403, 36806

Step-4: Factors of 73627

List of positive integer factors of 73627 that divides 73612 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73612 and 73627. The biggest common factor number is the GCF number.
So the greatest common factor 73612 and 73627 is 1.

Also check out the Least Common Multiple of 73612 and 73627