What is the Greatest Common Factor of 74919 and 74925?

Greatest common factor (GCF) of 74919 and 74925 is 3.

GCF(74919,74925) = 3

We will now calculate the prime factors of 74919 and 74925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74919 and 74925.

How to find the GCF of 74919 and 74925?

We will first find the prime factorization of 74919 and 74925. After we will calculate the factors of 74919 and 74925 and find the biggest common factor number .

Step-1: Prime Factorization of 74919

Prime factors of 74919 are 3, 13, 17, 113. Prime factorization of 74919 in exponential form is:

74919 = 3¹ × 13¹ × 17¹ × 113¹

Step-2: 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-3: Factors of 74919

List of positive integer factors of 74919 that divides 74919 without a remainder.

1, 3, 13, 17, 39, 51, 113, 221, 339, 663, 1469, 1921, 4407, 5763, 24973

Step-4: Factors of 74925

List of positive integer factors of 74925 that divides 74919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74919 and 74925. The biggest common factor number is the GCF number.
So the greatest common factor 74919 and 74925 is 3.

Also check out the Least Common Multiple of 74919 and 74925