What is the Greatest Common Factor of 74925 and 74939?

Greatest common factor (GCF) of 74925 and 74939 is 1.

GCF(74925,74939) = 1

We will now calculate the prime factors of 74925 and 74939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74925 and 74939.

How to find the GCF of 74925 and 74939?

We will first find the prime factorization of 74925 and 74939. After we will calculate the factors of 74925 and 74939 and find the biggest common factor number .

Step-1: Prime Factorization of 74925

Prime factors of 74925 are 3, 5, 37. Prime factorization of 74925 in exponential form is:

74925 = 3⁴ × 5² × 37¹

Step-2: Prime Factorization of 74939

Prime factors of 74939 are 137, 547. Prime factorization of 74939 in exponential form is:

74939 = 137¹ × 547¹

Step-3: Factors of 74925

List of positive integer factors of 74925 that divides 74925 without a remainder.

1, 3, 5, 9, 15, 25, 27, 37, 45, 75, 81, 111, 135, 185, 225, 333, 405, 555, 675, 925, 999, 1665, 2025, 2775, 2997, 4995, 8325, 14985, 24975

Step-4: Factors of 74939

List of positive integer factors of 74939 that divides 74925 without a remainder.

1, 137, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74925 and 74939. The biggest common factor number is the GCF number.
So the greatest common factor 74925 and 74939 is 1.

Also check out the Least Common Multiple of 74925 and 74939