What is the Greatest Common Factor of 7074 and 7092?

Greatest common factor (GCF) of 7074 and 7092 is 18.

GCF(7074,7092) = 18

We will now calculate the prime factors of 7074 and 7092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7074 and 7092.

How to find the GCF of 7074 and 7092?

We will first find the prime factorization of 7074 and 7092. After we will calculate the factors of 7074 and 7092 and find the biggest common factor number .

Step-1: Prime Factorization of 7074

Prime factors of 7074 are 2, 3, 131. Prime factorization of 7074 in exponential form is:

7074 = 2¹ × 3³ × 131¹

Step-2: Prime Factorization of 7092

Prime factors of 7092 are 2, 3, 197. Prime factorization of 7092 in exponential form is:

7092 = 2² × 3² × 197¹

Step-3: Factors of 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537

Step-4: Factors of 7092

List of positive integer factors of 7092 that divides 7074 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 197, 394, 591, 788, 1182, 1773, 2364, 3546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7074 and 7092. The biggest common factor number is the GCF number.
So the greatest common factor 7074 and 7092 is 18.

Also check out the Least Common Multiple of 7074 and 7092