What is the Greatest Common Factor of 74670 and 74675?

Greatest common factor (GCF) of 74670 and 74675 is 5.

GCF(74670,74675) = 5

We will now calculate the prime factors of 74670 and 74675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74670 and 74675.

How to find the GCF of 74670 and 74675?

We will first find the prime factorization of 74670 and 74675. After we will calculate the factors of 74670 and 74675 and find the biggest common factor number .

Step-1: Prime Factorization of 74670

Prime factors of 74670 are 2, 3, 5, 19, 131. Prime factorization of 74670 in exponential form is:

74670 = 2¹ × 3¹ × 5¹ × 19¹ × 131¹

Step-2: Prime Factorization of 74675

Prime factors of 74675 are 5, 29, 103. Prime factorization of 74675 in exponential form is:

74675 = 5² × 29¹ × 103¹

Step-3: Factors of 74670

List of positive integer factors of 74670 that divides 74670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 131, 190, 262, 285, 393, 570, 655, 786, 1310, 1965, 2489, 3930, 4978, 7467, 12445, 14934, 24890, 37335

Step-4: Factors of 74675

List of positive integer factors of 74675 that divides 74670 without a remainder.

1, 5, 25, 29, 103, 145, 515, 725, 2575, 2987, 14935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74670 and 74675. The biggest common factor number is the GCF number.
So the greatest common factor 74670 and 74675 is 5.

Also check out the Least Common Multiple of 74670 and 74675