What is the Greatest Common Factor of 74756 and 74770?

Greatest common factor (GCF) of 74756 and 74770 is 2.

GCF(74756,74770) = 2

We will now calculate the prime factors of 74756 and 74770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74756 and 74770.

How to find the GCF of 74756 and 74770?

We will first find the prime factorization of 74756 and 74770. After we will calculate the factors of 74756 and 74770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74770

Prime factors of 74770 are 2, 5, 7477. Prime factorization of 74770 in exponential form is:

74770 = 2¹ × 5¹ × 7477¹

Step-3: Factors of 74756

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

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

Step-4: Factors of 74770

List of positive integer factors of 74770 that divides 74756 without a remainder.

1, 2, 5, 10, 7477, 14954, 37385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74756 and 74770. The biggest common factor number is the GCF number.
So the greatest common factor 74756 and 74770 is 2.

Also check out the Least Common Multiple of 74756 and 74770