What is the Greatest Common Factor of 74738 and 74756?

Greatest common factor (GCF) of 74738 and 74756 is 2.

GCF(74738,74756) = 2

We will now calculate the prime factors of 74738 and 74756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74738 and 74756.

How to find the GCF of 74738 and 74756?

We will first find the prime factorization of 74738 and 74756. After we will calculate the factors of 74738 and 74756 and find the biggest common factor number .

Step-1: Prime Factorization of 74738

Prime factors of 74738 are 2, 37369. Prime factorization of 74738 in exponential form is:

74738 = 2¹ × 37369¹

Step-2: Prime Factorization of 74756

Prime factors of 74756 are 2, 11, 1699. Prime factorization of 74756 in exponential form is:

74756 = 2² × 11¹ × 1699¹

Step-3: Factors of 74738

List of positive integer factors of 74738 that divides 74738 without a remainder.

1, 2, 37369

Step-4: Factors of 74756

List of positive integer factors of 74756 that divides 74738 without a remainder.

1, 2, 4, 11, 22, 44, 1699, 3398, 6796, 18689, 37378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74738 and 74756. The biggest common factor number is the GCF number.
So the greatest common factor 74738 and 74756 is 2.

Also check out the Least Common Multiple of 74738 and 74756