What is the Greatest Common Factor of 80613 and 80625?

Greatest common factor (GCF) of 80613 and 80625 is 3.

GCF(80613,80625) = 3

We will now calculate the prime factors of 80613 and 80625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80613 and 80625.

How to find the GCF of 80613 and 80625?

We will first find the prime factorization of 80613 and 80625. After we will calculate the factors of 80613 and 80625 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 80625

Prime factors of 80625 are 3, 5, 43. Prime factorization of 80625 in exponential form is:

80625 = 3¹ × 5⁴ × 43¹

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 80625

List of positive integer factors of 80625 that divides 80613 without a remainder.

1, 3, 5, 15, 25, 43, 75, 125, 129, 215, 375, 625, 645, 1075, 1875, 3225, 5375, 16125, 26875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80613 and 80625. The biggest common factor number is the GCF number.
So the greatest common factor 80613 and 80625 is 3.

Also check out the Least Common Multiple of 80613 and 80625