What is the Greatest Common Factor of 77582 and 77596?

Greatest common factor (GCF) of 77582 and 77596 is 2.

GCF(77582,77596) = 2

We will now calculate the prime factors of 77582 and 77596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77582 and 77596.

How to find the GCF of 77582 and 77596?

We will first find the prime factorization of 77582 and 77596. After we will calculate the factors of 77582 and 77596 and find the biggest common factor number .

Step-1: Prime Factorization of 77582

Prime factors of 77582 are 2, 38791. Prime factorization of 77582 in exponential form is:

77582 = 2¹ × 38791¹

Step-2: Prime Factorization of 77596

Prime factors of 77596 are 2, 19, 1021. Prime factorization of 77596 in exponential form is:

77596 = 2² × 19¹ × 1021¹

Step-3: Factors of 77582

List of positive integer factors of 77582 that divides 77582 without a remainder.

1, 2, 38791

Step-4: Factors of 77596

List of positive integer factors of 77596 that divides 77582 without a remainder.

1, 2, 4, 19, 38, 76, 1021, 2042, 4084, 19399, 38798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77582 and 77596. The biggest common factor number is the GCF number.
So the greatest common factor 77582 and 77596 is 2.

Also check out the Least Common Multiple of 77582 and 77596