What is the Greatest Common Factor of 27079 and 27092?

Greatest common factor (GCF) of 27079 and 27092 is 13.

GCF(27079,27092) = 13

We will now calculate the prime factors of 27079 and 27092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27079 and 27092.

How to find the GCF of 27079 and 27092?

We will first find the prime factorization of 27079 and 27092. After we will calculate the factors of 27079 and 27092 and find the biggest common factor number .

Step-1: Prime Factorization of 27079

Prime factors of 27079 are 13, 2083. Prime factorization of 27079 in exponential form is:

27079 = 13¹ × 2083¹

Step-2: Prime Factorization of 27092

Prime factors of 27092 are 2, 13, 521. Prime factorization of 27092 in exponential form is:

27092 = 2² × 13¹ × 521¹

Step-3: Factors of 27079

List of positive integer factors of 27079 that divides 27079 without a remainder.

1, 13, 2083

Step-4: Factors of 27092

List of positive integer factors of 27092 that divides 27079 without a remainder.

1, 2, 4, 13, 26, 52, 521, 1042, 2084, 6773, 13546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27079 and 27092. The biggest common factor number is the GCF number.
So the greatest common factor 27079 and 27092 is 13.

Also check out the Least Common Multiple of 27079 and 27092