What is the Greatest Common Factor of 74745 and 74751?

Greatest common factor (GCF) of 74745 and 74751 is 3.

GCF(74745,74751) = 3

We will now calculate the prime factors of 74745 and 74751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74745 and 74751.

How to find the GCF of 74745 and 74751?

We will first find the prime factorization of 74745 and 74751. After we will calculate the factors of 74745 and 74751 and find the biggest common factor number .

Step-1: Prime Factorization of 74745

Prime factors of 74745 are 3, 5, 11, 151. Prime factorization of 74745 in exponential form is:

74745 = 3² × 5¹ × 11¹ × 151¹

Step-2: Prime Factorization of 74751

Prime factors of 74751 are 3, 24917. Prime factorization of 74751 in exponential form is:

74751 = 3¹ × 24917¹

Step-3: Factors of 74745

List of positive integer factors of 74745 that divides 74745 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 151, 165, 453, 495, 755, 1359, 1661, 2265, 4983, 6795, 8305, 14949, 24915

Step-4: Factors of 74751

List of positive integer factors of 74751 that divides 74745 without a remainder.

1, 3, 24917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74745 and 74751. The biggest common factor number is the GCF number.
So the greatest common factor 74745 and 74751 is 3.

Also check out the Least Common Multiple of 74745 and 74751