What is the Greatest Common Factor of 68905 and 68925?

Greatest common factor (GCF) of 68905 and 68925 is 5.

GCF(68905,68925) = 5

We will now calculate the prime factors of 68905 and 68925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68905 and 68925.

How to find the GCF of 68905 and 68925?

We will first find the prime factorization of 68905 and 68925. After we will calculate the factors of 68905 and 68925 and find the biggest common factor number .

Step-1: Prime Factorization of 68905

Prime factors of 68905 are 5, 13781. Prime factorization of 68905 in exponential form is:

68905 = 5¹ × 13781¹

Step-2: 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-3: Factors of 68905

List of positive integer factors of 68905 that divides 68905 without a remainder.

1, 5, 13781

Step-4: Factors of 68925

List of positive integer factors of 68925 that divides 68905 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68905 and 68925. The biggest common factor number is the GCF number.
So the greatest common factor 68905 and 68925 is 5.

Also check out the Least Common Multiple of 68905 and 68925