What is the Greatest Common Factor of 73598 and 73612?

Greatest common factor (GCF) of 73598 and 73612 is 14.

GCF(73598,73612) = 14

We will now calculate the prime factors of 73598 and 73612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73598 and 73612.

How to find the GCF of 73598 and 73612?

We will first find the prime factorization of 73598 and 73612. After we will calculate the factors of 73598 and 73612 and find the biggest common factor number .

Step-1: Prime Factorization of 73598

Prime factors of 73598 are 2, 7, 751. Prime factorization of 73598 in exponential form is:

73598 = 2¹ × 7² × 751¹

Step-2: 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-3: Factors of 73598

List of positive integer factors of 73598 that divides 73598 without a remainder.

1, 2, 7, 14, 49, 98, 751, 1502, 5257, 10514, 36799

Step-4: Factors of 73612

List of positive integer factors of 73612 that divides 73598 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73598 and 73612. The biggest common factor number is the GCF number.
So the greatest common factor 73598 and 73612 is 14.

Also check out the Least Common Multiple of 73598 and 73612