What is the Greatest Common Factor of 68925 and 68940?

Greatest common factor (GCF) of 68925 and 68940 is 15.

GCF(68925,68940) = 15

We will now calculate the prime factors of 68925 and 68940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68925 and 68940.

How to find the GCF of 68925 and 68940?

We will first find the prime factorization of 68925 and 68940. After we will calculate the factors of 68925 and 68940 and find the biggest common factor number .

Step-1: Prime Factorization of 68925

Prime factors of 68925 are 3, 5, 919. Prime factorization of 68925 in exponential form is:

68925 = 3¹ × 5² × 919¹

Step-2: Prime Factorization of 68940

Prime factors of 68940 are 2, 3, 5, 383. Prime factorization of 68940 in exponential form is:

68940 = 2² × 3² × 5¹ × 383¹

Step-3: Factors of 68925

List of positive integer factors of 68925 that divides 68925 without a remainder.

1, 3, 5, 15, 25, 75, 919, 2757, 4595, 13785, 22975

Step-4: Factors of 68940

List of positive integer factors of 68940 that divides 68925 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 383, 766, 1149, 1532, 1915, 2298, 3447, 3830, 4596, 5745, 6894, 7660, 11490, 13788, 17235, 22980, 34470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68925 and 68940. The biggest common factor number is the GCF number.
So the greatest common factor 68925 and 68940 is 15.

Also check out the Least Common Multiple of 68925 and 68940