What is the Greatest Common Factor of 74535 and 74540?

Greatest common factor (GCF) of 74535 and 74540 is 5.

GCF(74535,74540) = 5

We will now calculate the prime factors of 74535 and 74540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74535 and 74540.

How to find the GCF of 74535 and 74540?

We will first find the prime factorization of 74535 and 74540. After we will calculate the factors of 74535 and 74540 and find the biggest common factor number .

Step-1: Prime Factorization of 74535

Prime factors of 74535 are 3, 5, 4969. Prime factorization of 74535 in exponential form is:

74535 = 3¹ × 5¹ × 4969¹

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 74535

List of positive integer factors of 74535 that divides 74535 without a remainder.

1, 3, 5, 15, 4969, 14907, 24845

Step-4: Factors of 74540

List of positive integer factors of 74540 that divides 74535 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 74535 and 74540. The biggest common factor number is the GCF number.
So the greatest common factor 74535 and 74540 is 5.

Also check out the Least Common Multiple of 74535 and 74540