What is the Greatest Common Factor of 74676 and 74683?

Greatest common factor (GCF) of 74676 and 74683 is 7.

GCF(74676,74683) = 7

We will now calculate the prime factors of 74676 and 74683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74676 and 74683.

How to find the GCF of 74676 and 74683?

We will first find the prime factorization of 74676 and 74683. After we will calculate the factors of 74676 and 74683 and find the biggest common factor number .

Step-1: Prime Factorization of 74676

Prime factors of 74676 are 2, 3, 7, 127. Prime factorization of 74676 in exponential form is:

74676 = 2² × 3¹ × 7² × 127¹

Step-2: Prime Factorization of 74683

Prime factors of 74683 are 7, 47, 227. Prime factorization of 74683 in exponential form is:

74683 = 7¹ × 47¹ × 227¹

Step-3: Factors of 74676

List of positive integer factors of 74676 that divides 74676 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 127, 147, 196, 254, 294, 381, 508, 588, 762, 889, 1524, 1778, 2667, 3556, 5334, 6223, 10668, 12446, 18669, 24892, 37338

Step-4: Factors of 74683

List of positive integer factors of 74683 that divides 74676 without a remainder.

1, 7, 47, 227, 329, 1589, 10669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74676 and 74683. The biggest common factor number is the GCF number.
So the greatest common factor 74676 and 74683 is 7.

Also check out the Least Common Multiple of 74676 and 74683