What is the Greatest Common Factor of 83604 and 83612?

Greatest common factor (GCF) of 83604 and 83612 is 4.

GCF(83604,83612) = 4

We will now calculate the prime factors of 83604 and 83612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83604 and 83612.

How to find the GCF of 83604 and 83612?

We will first find the prime factorization of 83604 and 83612. After we will calculate the factors of 83604 and 83612 and find the biggest common factor number .

Step-1: Prime Factorization of 83604

Prime factors of 83604 are 2, 3, 6967. Prime factorization of 83604 in exponential form is:

83604 = 2² × 3¹ × 6967¹

Step-2: Prime Factorization of 83612

Prime factors of 83612 are 2, 20903. Prime factorization of 83612 in exponential form is:

83612 = 2² × 20903¹

Step-3: Factors of 83604

List of positive integer factors of 83604 that divides 83604 without a remainder.

1, 2, 3, 4, 6, 12, 6967, 13934, 20901, 27868, 41802

Step-4: Factors of 83612

List of positive integer factors of 83612 that divides 83604 without a remainder.

1, 2, 4, 20903, 41806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83604 and 83612. The biggest common factor number is the GCF number.
So the greatest common factor 83604 and 83612 is 4.

Also check out the Least Common Multiple of 83604 and 83612