What is the Greatest Common Factor of 86925 and 86939?

Greatest common factor (GCF) of 86925 and 86939 is 1.

GCF(86925,86939) = 1

We will now calculate the prime factors of 86925 and 86939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86925 and 86939.

How to find the GCF of 86925 and 86939?

We will first find the prime factorization of 86925 and 86939. After we will calculate the factors of 86925 and 86939 and find the biggest common factor number .

Step-1: Prime Factorization of 86925

Prime factors of 86925 are 3, 5, 19, 61. Prime factorization of 86925 in exponential form is:

86925 = 3¹ × 5² × 19¹ × 61¹

Step-2: Prime Factorization of 86939

Prime factors of 86939 are 86939. Prime factorization of 86939 in exponential form is:

86939 = 86939¹

Step-3: Factors of 86925

List of positive integer factors of 86925 that divides 86925 without a remainder.

1, 3, 5, 15, 19, 25, 57, 61, 75, 95, 183, 285, 305, 475, 915, 1159, 1425, 1525, 3477, 4575, 5795, 17385, 28975

Step-4: Factors of 86939

List of positive integer factors of 86939 that divides 86925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86925 and 86939. The biggest common factor number is the GCF number.
So the greatest common factor 86925 and 86939 is 1.

Also check out the Least Common Multiple of 86925 and 86939