What is the Greatest Common Factor of 74530 and 74540?

Greatest common factor (GCF) of 74530 and 74540 is 10.

GCF(74530,74540) = 10

We will now calculate the prime factors of 74530 and 74540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74530 and 74540.

How to find the GCF of 74530 and 74540?

We will first find the prime factorization of 74530 and 74540. After we will calculate the factors of 74530 and 74540 and find the biggest common factor number .

Step-1: Prime Factorization of 74530

Prime factors of 74530 are 2, 5, 29, 257. Prime factorization of 74530 in exponential form is:

74530 = 2¹ × 5¹ × 29¹ × 257¹

Step-2: Prime Factorization of 74540

Prime factors of 74540 are 2, 5, 3727. Prime factorization of 74540 in exponential form is:

74540 = 2² × 5¹ × 3727¹

Step-3: Factors of 74530

List of positive integer factors of 74530 that divides 74530 without a remainder.

1, 2, 5, 10, 29, 58, 145, 257, 290, 514, 1285, 2570, 7453, 14906, 37265

Step-4: Factors of 74540

List of positive integer factors of 74540 that divides 74530 without a remainder.

1, 2, 4, 5, 10, 20, 3727, 7454, 14908, 18635, 37270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74530 and 74540. The biggest common factor number is the GCF number.
So the greatest common factor 74530 and 74540 is 10.

Also check out the Least Common Multiple of 74530 and 74540