What is the Greatest Common Factor of 86910 and 86925?

Greatest common factor (GCF) of 86910 and 86925 is 15.

GCF(86910,86925) = 15

We will now calculate the prime factors of 86910 and 86925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86910 and 86925.

How to find the GCF of 86910 and 86925?

We will first find the prime factorization of 86910 and 86925. After we will calculate the factors of 86910 and 86925 and find the biggest common factor number .

Step-1: Prime Factorization of 86910

Prime factors of 86910 are 2, 3, 5, 2897. Prime factorization of 86910 in exponential form is:

86910 = 2¹ × 3¹ × 5¹ × 2897¹

Step-2: 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-3: Factors of 86910

List of positive integer factors of 86910 that divides 86910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2897, 5794, 8691, 14485, 17382, 28970, 43455

Step-4: Factors of 86925

List of positive integer factors of 86925 that divides 86910 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86910 and 86925. The biggest common factor number is the GCF number.
So the greatest common factor 86910 and 86925 is 15.

Also check out the Least Common Multiple of 86910 and 86925