What is the Greatest Common Factor of 74130 and 74145?

Greatest common factor (GCF) of 74130 and 74145 is 15.

GCF(74130,74145) = 15

We will now calculate the prime factors of 74130 and 74145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74130 and 74145.

How to find the GCF of 74130 and 74145?

We will first find the prime factorization of 74130 and 74145. After we will calculate the factors of 74130 and 74145 and find the biggest common factor number .

Step-1: Prime Factorization of 74130

Prime factors of 74130 are 2, 3, 5, 7, 353. Prime factorization of 74130 in exponential form is:

74130 = 2¹ × 3¹ × 5¹ × 7¹ × 353¹

Step-2: Prime Factorization of 74145

Prime factors of 74145 are 3, 5, 4943. Prime factorization of 74145 in exponential form is:

74145 = 3¹ × 5¹ × 4943¹

Step-3: Factors of 74130

List of positive integer factors of 74130 that divides 74130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 353, 706, 1059, 1765, 2118, 2471, 3530, 4942, 5295, 7413, 10590, 12355, 14826, 24710, 37065

Step-4: Factors of 74145

List of positive integer factors of 74145 that divides 74130 without a remainder.

1, 3, 5, 15, 4943, 14829, 24715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74130 and 74145. The biggest common factor number is the GCF number.
So the greatest common factor 74130 and 74145 is 15.

Also check out the Least Common Multiple of 74130 and 74145