What is the Greatest Common Factor of 80910 and 80925?

Greatest common factor (GCF) of 80910 and 80925 is 15.

GCF(80910,80925) = 15

We will now calculate the prime factors of 80910 and 80925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80910 and 80925.

How to find the GCF of 80910 and 80925?

We will first find the prime factorization of 80910 and 80925. After we will calculate the factors of 80910 and 80925 and find the biggest common factor number .

Step-1: Prime Factorization of 80910

Prime factors of 80910 are 2, 3, 5, 29, 31. Prime factorization of 80910 in exponential form is:

80910 = 2¹ × 3² × 5¹ × 29¹ × 31¹

Step-2: Prime Factorization of 80925

Prime factors of 80925 are 3, 5, 13, 83. Prime factorization of 80925 in exponential form is:

80925 = 3¹ × 5² × 13¹ × 83¹

Step-3: Factors of 80910

List of positive integer factors of 80910 that divides 80910 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 31, 45, 58, 62, 87, 90, 93, 145, 155, 174, 186, 261, 279, 290, 310, 435, 465, 522, 558, 870, 899, 930, 1305, 1395, 1798, 2610, 2697, 2790, 4495, 5394, 8091, 8990, 13485, 16182, 26970, 40455

Step-4: Factors of 80925

List of positive integer factors of 80925 that divides 80910 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 83, 195, 249, 325, 415, 975, 1079, 1245, 2075, 3237, 5395, 6225, 16185, 26975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80910 and 80925. The biggest common factor number is the GCF number.
So the greatest common factor 80910 and 80925 is 15.

Also check out the Least Common Multiple of 80910 and 80925