What is the Greatest Common Factor of 77535 and 77540?

Greatest common factor (GCF) of 77535 and 77540 is 5.

GCF(77535,77540) = 5

We will now calculate the prime factors of 77535 and 77540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77535 and 77540.

How to find the GCF of 77535 and 77540?

We will first find the prime factorization of 77535 and 77540. After we will calculate the factors of 77535 and 77540 and find the biggest common factor number .

Step-1: Prime Factorization of 77535

Prime factors of 77535 are 3, 5, 1723. Prime factorization of 77535 in exponential form is:

77535 = 3² × 5¹ × 1723¹

Step-2: Prime Factorization of 77540

Prime factors of 77540 are 2, 5, 3877. Prime factorization of 77540 in exponential form is:

77540 = 2² × 5¹ × 3877¹

Step-3: Factors of 77535

List of positive integer factors of 77535 that divides 77535 without a remainder.

1, 3, 5, 9, 15, 45, 1723, 5169, 8615, 15507, 25845

Step-4: Factors of 77540

List of positive integer factors of 77540 that divides 77535 without a remainder.

1, 2, 4, 5, 10, 20, 3877, 7754, 15508, 19385, 38770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77535 and 77540. The biggest common factor number is the GCF number.
So the greatest common factor 77535 and 77540 is 5.

Also check out the Least Common Multiple of 77535 and 77540