What is the Greatest Common Factor of 74625 and 74643?

Greatest common factor (GCF) of 74625 and 74643 is 3.

GCF(74625,74643) = 3

We will now calculate the prime factors of 74625 and 74643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74625 and 74643.

How to find the GCF of 74625 and 74643?

We will first find the prime factorization of 74625 and 74643. After we will calculate the factors of 74625 and 74643 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 74643

Prime factors of 74643 are 3, 139, 179. Prime factorization of 74643 in exponential form is:

74643 = 3¹ × 139¹ × 179¹

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 74643

List of positive integer factors of 74643 that divides 74625 without a remainder.

1, 3, 139, 179, 417, 537, 24881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74625 and 74643. The biggest common factor number is the GCF number.
So the greatest common factor 74625 and 74643 is 3.

Also check out the Least Common Multiple of 74625 and 74643