What is the Greatest Common Factor of 74610 and 74628?

Greatest common factor (GCF) of 74610 and 74628 is 18.

GCF(74610,74628) = 18

We will now calculate the prime factors of 74610 and 74628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74610 and 74628.

How to find the GCF of 74610 and 74628?

We will first find the prime factorization of 74610 and 74628. After we will calculate the factors of 74610 and 74628 and find the biggest common factor number .

Step-1: Prime Factorization of 74610

Prime factors of 74610 are 2, 3, 5, 829. Prime factorization of 74610 in exponential form is:

74610 = 2¹ × 3² × 5¹ × 829¹

Step-2: Prime Factorization of 74628

Prime factors of 74628 are 2, 3, 691. Prime factorization of 74628 in exponential form is:

74628 = 2² × 3³ × 691¹

Step-3: Factors of 74610

List of positive integer factors of 74610 that divides 74610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 829, 1658, 2487, 4145, 4974, 7461, 8290, 12435, 14922, 24870, 37305

Step-4: Factors of 74628

List of positive integer factors of 74628 that divides 74610 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 691, 1382, 2073, 2764, 4146, 6219, 8292, 12438, 18657, 24876, 37314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74610 and 74628. The biggest common factor number is the GCF number.
So the greatest common factor 74610 and 74628 is 18.

Also check out the Least Common Multiple of 74610 and 74628