What is the Greatest Common Factor of 77530 and 77540?

Greatest common factor (GCF) of 77530 and 77540 is 10.

GCF(77530,77540) = 10

We will now calculate the prime factors of 77530 and 77540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77530 and 77540.

How to find the GCF of 77530 and 77540?

We will first find the prime factorization of 77530 and 77540. After we will calculate the factors of 77530 and 77540 and find the biggest common factor number .

Step-1: Prime Factorization of 77530

Prime factors of 77530 are 2, 5, 7753. Prime factorization of 77530 in exponential form is:

77530 = 2¹ × 5¹ × 7753¹

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 77530

List of positive integer factors of 77530 that divides 77530 without a remainder.

1, 2, 5, 10, 7753, 15506, 38765

Step-4: Factors of 77540

List of positive integer factors of 77540 that divides 77530 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 77530 and 77540. The biggest common factor number is the GCF number.
So the greatest common factor 77530 and 77540 is 10.

Also check out the Least Common Multiple of 77530 and 77540