What is the Greatest Common Factor of 73612 and 73622?

Greatest common factor (GCF) of 73612 and 73622 is 2.

GCF(73612,73622) = 2

We will now calculate the prime factors of 73612 and 73622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73612 and 73622.

How to find the GCF of 73612 and 73622?

We will first find the prime factorization of 73612 and 73622. After we will calculate the factors of 73612 and 73622 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 73622

Prime factors of 73622 are 2, 131, 281. Prime factorization of 73622 in exponential form is:

73622 = 2¹ × 131¹ × 281¹

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 73622

List of positive integer factors of 73622 that divides 73612 without a remainder.

1, 2, 131, 262, 281, 562, 36811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73612 and 73622. The biggest common factor number is the GCF number.
So the greatest common factor 73612 and 73622 is 2.

Also check out the Least Common Multiple of 73612 and 73622