What is the Greatest Common Factor of 74140 and 74145?

Greatest common factor (GCF) of 74140 and 74145 is 5.

GCF(74140,74145) = 5

We will now calculate the prime factors of 74140 and 74145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74140 and 74145.

How to find the GCF of 74140 and 74145?

We will first find the prime factorization of 74140 and 74145. After we will calculate the factors of 74140 and 74145 and find the biggest common factor number .

Step-1: Prime Factorization of 74140

Prime factors of 74140 are 2, 5, 11, 337. Prime factorization of 74140 in exponential form is:

74140 = 2² × 5¹ × 11¹ × 337¹

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 74140

List of positive integer factors of 74140 that divides 74140 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 337, 674, 1348, 1685, 3370, 3707, 6740, 7414, 14828, 18535, 37070

Step-4: Factors of 74145

List of positive integer factors of 74145 that divides 74140 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74140 and 74145. The biggest common factor number is the GCF number.
So the greatest common factor 74140 and 74145 is 5.

Also check out the Least Common Multiple of 74140 and 74145