What is the Greatest Common Factor of 26925 and 26942?

Greatest common factor (GCF) of 26925 and 26942 is 1.

GCF(26925,26942) = 1

We will now calculate the prime factors of 26925 and 26942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26925 and 26942.

How to find the GCF of 26925 and 26942?

We will first find the prime factorization of 26925 and 26942. After we will calculate the factors of 26925 and 26942 and find the biggest common factor number .

Step-1: Prime Factorization of 26925

Prime factors of 26925 are 3, 5, 359. Prime factorization of 26925 in exponential form is:

26925 = 3¹ × 5² × 359¹

Step-2: Prime Factorization of 26942

Prime factors of 26942 are 2, 19, 709. Prime factorization of 26942 in exponential form is:

26942 = 2¹ × 19¹ × 709¹

Step-3: Factors of 26925

List of positive integer factors of 26925 that divides 26925 without a remainder.

1, 3, 5, 15, 25, 75, 359, 1077, 1795, 5385, 8975

Step-4: Factors of 26942

List of positive integer factors of 26942 that divides 26925 without a remainder.

1, 2, 19, 38, 709, 1418, 13471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26925 and 26942. The biggest common factor number is the GCF number.
So the greatest common factor 26925 and 26942 is 1.

Also check out the Least Common Multiple of 26925 and 26942