What is the Greatest Common Factor of 74280 and 74295?

Greatest common factor (GCF) of 74280 and 74295 is 15.

GCF(74280,74295) = 15

We will now calculate the prime factors of 74280 and 74295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74280 and 74295.

How to find the GCF of 74280 and 74295?

We will first find the prime factorization of 74280 and 74295. After we will calculate the factors of 74280 and 74295 and find the biggest common factor number .

Step-1: Prime Factorization of 74280

Prime factors of 74280 are 2, 3, 5, 619. Prime factorization of 74280 in exponential form is:

74280 = 2³ × 3¹ × 5¹ × 619¹

Step-2: Prime Factorization of 74295

Prime factors of 74295 are 3, 5, 13, 127. Prime factorization of 74295 in exponential form is:

74295 = 3² × 5¹ × 13¹ × 127¹

Step-3: Factors of 74280

List of positive integer factors of 74280 that divides 74280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 619, 1238, 1857, 2476, 3095, 3714, 4952, 6190, 7428, 9285, 12380, 14856, 18570, 24760, 37140

Step-4: Factors of 74295

List of positive integer factors of 74295 that divides 74280 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 127, 195, 381, 585, 635, 1143, 1651, 1905, 4953, 5715, 8255, 14859, 24765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74280 and 74295. The biggest common factor number is the GCF number.
So the greatest common factor 74280 and 74295 is 15.

Also check out the Least Common Multiple of 74280 and 74295