What is the Greatest Common Factor of 74625 and 74642?

Greatest common factor (GCF) of 74625 and 74642 is 1.

GCF(74625,74642) = 1

We will now calculate the prime factors of 74625 and 74642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74625 and 74642.

How to find the GCF of 74625 and 74642?

We will first find the prime factorization of 74625 and 74642. After we will calculate the factors of 74625 and 74642 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 74642

Prime factors of 74642 are 2, 37321. Prime factorization of 74642 in exponential form is:

74642 = 2¹ × 37321¹

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 74642

List of positive integer factors of 74642 that divides 74625 without a remainder.

1, 2, 37321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74625 and 74642. The biggest common factor number is the GCF number.
So the greatest common factor 74625 and 74642 is 1.

Also check out the Least Common Multiple of 74625 and 74642