What is the Greatest Common Factor of 80925 and 80930?

Greatest common factor (GCF) of 80925 and 80930 is 5.

GCF(80925,80930) = 5

We will now calculate the prime factors of 80925 and 80930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80925 and 80930.

How to find the GCF of 80925 and 80930?

We will first find the prime factorization of 80925 and 80930. After we will calculate the factors of 80925 and 80930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80930

Prime factors of 80930 are 2, 5, 8093. Prime factorization of 80930 in exponential form is:

80930 = 2¹ × 5¹ × 8093¹

Step-3: Factors of 80925

List of positive integer factors of 80925 that divides 80925 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

Step-4: Factors of 80930

List of positive integer factors of 80930 that divides 80925 without a remainder.

1, 2, 5, 10, 8093, 16186, 40465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80925 and 80930. The biggest common factor number is the GCF number.
So the greatest common factor 80925 and 80930 is 5.

Also check out the Least Common Multiple of 80925 and 80930