What is the Greatest Common Factor of 86925 and 86942?

Greatest common factor (GCF) of 86925 and 86942 is 1.

GCF(86925,86942) = 1

We will now calculate the prime factors of 86925 and 86942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86925 and 86942.

How to find the GCF of 86925 and 86942?

We will first find the prime factorization of 86925 and 86942. After we will calculate the factors of 86925 and 86942 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 86942

Prime factors of 86942 are 2, 29, 1499. Prime factorization of 86942 in exponential form is:

86942 = 2¹ × 29¹ × 1499¹

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 86942

List of positive integer factors of 86942 that divides 86925 without a remainder.

1, 2, 29, 58, 1499, 2998, 43471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86925 and 86942. The biggest common factor number is the GCF number.
So the greatest common factor 86925 and 86942 is 1.

Also check out the Least Common Multiple of 86925 and 86942