What is the Greatest Common Factor of 80612 and 80619?

Greatest common factor (GCF) of 80612 and 80619 is 7.

GCF(80612,80619) = 7

We will now calculate the prime factors of 80612 and 80619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80612 and 80619.

How to find the GCF of 80612 and 80619?

We will first find the prime factorization of 80612 and 80619. After we will calculate the factors of 80612 and 80619 and find the biggest common factor number .

Step-1: Prime Factorization of 80612

Prime factors of 80612 are 2, 7, 2879. Prime factorization of 80612 in exponential form is:

80612 = 2² × 7¹ × 2879¹

Step-2: Prime Factorization of 80619

Prime factors of 80619 are 3, 7, 11, 349. Prime factorization of 80619 in exponential form is:

80619 = 3¹ × 7¹ × 11¹ × 349¹

Step-3: Factors of 80612

List of positive integer factors of 80612 that divides 80612 without a remainder.

1, 2, 4, 7, 14, 28, 2879, 5758, 11516, 20153, 40306

Step-4: Factors of 80619

List of positive integer factors of 80619 that divides 80612 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 349, 1047, 2443, 3839, 7329, 11517, 26873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80612 and 80619. The biggest common factor number is the GCF number.
So the greatest common factor 80612 and 80619 is 7.

Also check out the Least Common Multiple of 80612 and 80619