What is the Greatest Common Factor of 77522 and 77536?

Greatest common factor (GCF) of 77522 and 77536 is 2.

GCF(77522,77536) = 2

We will now calculate the prime factors of 77522 and 77536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77522 and 77536.

How to find the GCF of 77522 and 77536?

We will first find the prime factorization of 77522 and 77536. After we will calculate the factors of 77522 and 77536 and find the biggest common factor number .

Step-1: Prime Factorization of 77522

Prime factors of 77522 are 2, 83, 467. Prime factorization of 77522 in exponential form is:

77522 = 2¹ × 83¹ × 467¹

Step-2: Prime Factorization of 77536

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

77536 = 2⁵ × 2423¹

Step-3: Factors of 77522

List of positive integer factors of 77522 that divides 77522 without a remainder.

1, 2, 83, 166, 467, 934, 38761

Step-4: Factors of 77536

List of positive integer factors of 77536 that divides 77522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77522 and 77536. The biggest common factor number is the GCF number.
So the greatest common factor 77522 and 77536 is 2.

Also check out the Least Common Multiple of 77522 and 77536