What is the Greatest Common Factor of 74625 and 74645?

Greatest common factor (GCF) of 74625 and 74645 is 5.

GCF(74625,74645) = 5

We will now calculate the prime factors of 74625 and 74645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74625 and 74645.

How to find the GCF of 74625 and 74645?

We will first find the prime factorization of 74625 and 74645. After we will calculate the factors of 74625 and 74645 and find the biggest common factor number .

Step-1: Prime Factorization of 74625

Prime factors of 74625 are 3, 5, 199. Prime factorization of 74625 in exponential form is:

74625 = 3¹ × 5³ × 199¹

Step-2: Prime Factorization of 74645

Prime factors of 74645 are 5, 14929. Prime factorization of 74645 in exponential form is:

74645 = 5¹ × 14929¹

Step-3: Factors of 74625

List of positive integer factors of 74625 that divides 74625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 199, 375, 597, 995, 2985, 4975, 14925, 24875

Step-4: Factors of 74645

List of positive integer factors of 74645 that divides 74625 without a remainder.

1, 5, 14929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74625 and 74645. The biggest common factor number is the GCF number.
So the greatest common factor 74625 and 74645 is 5.

Also check out the Least Common Multiple of 74625 and 74645