What is the Greatest Common Factor of 76074 and 76092?

Greatest common factor (GCF) of 76074 and 76092 is 6.

GCF(76074,76092) = 6

We will now calculate the prime factors of 76074 and 76092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76074 and 76092.

How to find the GCF of 76074 and 76092?

We will first find the prime factorization of 76074 and 76092. After we will calculate the factors of 76074 and 76092 and find the biggest common factor number .

Step-1: Prime Factorization of 76074

Prime factors of 76074 are 2, 3, 31, 409. Prime factorization of 76074 in exponential form is:

76074 = 2¹ × 3¹ × 31¹ × 409¹

Step-2: Prime Factorization of 76092

Prime factors of 76092 are 2, 3, 17, 373. Prime factorization of 76092 in exponential form is:

76092 = 2² × 3¹ × 17¹ × 373¹

Step-3: Factors of 76074

List of positive integer factors of 76074 that divides 76074 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 409, 818, 1227, 2454, 12679, 25358, 38037

Step-4: Factors of 76092

List of positive integer factors of 76092 that divides 76074 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 373, 746, 1119, 1492, 2238, 4476, 6341, 12682, 19023, 25364, 38046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76074 and 76092. The biggest common factor number is the GCF number.
So the greatest common factor 76074 and 76092 is 6.

Also check out the Least Common Multiple of 76074 and 76092