What is the Greatest Common Factor of 74595 and 74610?

Greatest common factor (GCF) of 74595 and 74610 is 15.

GCF(74595,74610) = 15

We will now calculate the prime factors of 74595 and 74610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74595 and 74610.

How to find the GCF of 74595 and 74610?

We will first find the prime factorization of 74595 and 74610. After we will calculate the factors of 74595 and 74610 and find the biggest common factor number .

Step-1: Prime Factorization of 74595

Prime factors of 74595 are 3, 5, 4973. Prime factorization of 74595 in exponential form is:

74595 = 3¹ × 5¹ × 4973¹

Step-2: 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-3: Factors of 74595

List of positive integer factors of 74595 that divides 74595 without a remainder.

1, 3, 5, 15, 4973, 14919, 24865

Step-4: Factors of 74610

List of positive integer factors of 74610 that divides 74595 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74595 and 74610. The biggest common factor number is the GCF number.
So the greatest common factor 74595 and 74610 is 15.

Also check out the Least Common Multiple of 74595 and 74610