What is the Greatest Common Factor of 74076 and 74082?

Greatest common factor (GCF) of 74076 and 74082 is 6.

GCF(74076,74082) = 6

We will now calculate the prime factors of 74076 and 74082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74076 and 74082.

How to find the GCF of 74076 and 74082?

We will first find the prime factorization of 74076 and 74082. After we will calculate the factors of 74076 and 74082 and find the biggest common factor number .

Step-1: Prime Factorization of 74076

Prime factors of 74076 are 2, 3, 6173. Prime factorization of 74076 in exponential form is:

74076 = 2² × 3¹ × 6173¹

Step-2: Prime Factorization of 74082

Prime factors of 74082 are 2, 3, 12347. Prime factorization of 74082 in exponential form is:

74082 = 2¹ × 3¹ × 12347¹

Step-3: Factors of 74076

List of positive integer factors of 74076 that divides 74076 without a remainder.

1, 2, 3, 4, 6, 12, 6173, 12346, 18519, 24692, 37038

Step-4: Factors of 74082

List of positive integer factors of 74082 that divides 74076 without a remainder.

1, 2, 3, 6, 12347, 24694, 37041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74076 and 74082. The biggest common factor number is the GCF number.
So the greatest common factor 74076 and 74082 is 6.

Also check out the Least Common Multiple of 74076 and 74082