What is the Greatest Common Factor of 77536 and 77540?

Greatest common factor (GCF) of 77536 and 77540 is 4.

GCF(77536,77540) = 4

We will now calculate the prime factors of 77536 and 77540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77536 and 77540.

How to find the GCF of 77536 and 77540?

We will first find the prime factorization of 77536 and 77540. After we will calculate the factors of 77536 and 77540 and find the biggest common factor number .

Step-1: Prime Factorization of 77536

Prime factors of 77536 are 2, 2423. Prime factorization of 77536 in exponential form is:

77536 = 2⁵ × 2423¹

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 77536

List of positive integer factors of 77536 that divides 77536 without a remainder.

1, 2, 4, 8, 16, 32, 2423, 4846, 9692, 19384, 38768

Step-4: Factors of 77540

List of positive integer factors of 77540 that divides 77536 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 77536 and 77540. The biggest common factor number is the GCF number.
So the greatest common factor 77536 and 77540 is 4.

Also check out the Least Common Multiple of 77536 and 77540