What is the Greatest Common Factor of 80613 and 80628?

Greatest common factor (GCF) of 80613 and 80628 is 3.

GCF(80613,80628) = 3

We will now calculate the prime factors of 80613 and 80628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80613 and 80628.

How to find the GCF of 80613 and 80628?

We will first find the prime factorization of 80613 and 80628. After we will calculate the factors of 80613 and 80628 and find the biggest common factor number .

Step-1: Prime Factorization of 80613

Prime factors of 80613 are 3, 13, 53. Prime factorization of 80613 in exponential form is:

80613 = 3² × 13² × 53¹

Step-2: Prime Factorization of 80628

Prime factors of 80628 are 2, 3, 6719. Prime factorization of 80628 in exponential form is:

80628 = 2² × 3¹ × 6719¹

Step-3: Factors of 80613

List of positive integer factors of 80613 that divides 80613 without a remainder.

1, 3, 9, 13, 39, 53, 117, 159, 169, 477, 507, 689, 1521, 2067, 6201, 8957, 26871

Step-4: Factors of 80628

List of positive integer factors of 80628 that divides 80613 without a remainder.

1, 2, 3, 4, 6, 12, 6719, 13438, 20157, 26876, 40314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80613 and 80628. The biggest common factor number is the GCF number.
So the greatest common factor 80613 and 80628 is 3.

Also check out the Least Common Multiple of 80613 and 80628