What is the Greatest Common Factor of 86925 and 86934?

Greatest common factor (GCF) of 86925 and 86934 is 3.

GCF(86925,86934) = 3

We will now calculate the prime factors of 86925 and 86934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86925 and 86934.

How to find the GCF of 86925 and 86934?

We will first find the prime factorization of 86925 and 86934. After we will calculate the factors of 86925 and 86934 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 86934

Prime factors of 86934 are 2, 3, 14489. Prime factorization of 86934 in exponential form is:

86934 = 2¹ × 3¹ × 14489¹

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 86934

List of positive integer factors of 86934 that divides 86925 without a remainder.

1, 2, 3, 6, 14489, 28978, 43467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86925 and 86934. The biggest common factor number is the GCF number.
So the greatest common factor 86925 and 86934 is 3.

Also check out the Least Common Multiple of 86925 and 86934