What is the Greatest Common Factor of 79504 and 79522?

Greatest common factor (GCF) of 79504 and 79522 is 2.

GCF(79504,79522) = 2

We will now calculate the prime factors of 79504 and 79522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79504 and 79522.

How to find the GCF of 79504 and 79522?

We will first find the prime factorization of 79504 and 79522. After we will calculate the factors of 79504 and 79522 and find the biggest common factor number .

Step-1: Prime Factorization of 79504

Prime factors of 79504 are 2, 4969. Prime factorization of 79504 in exponential form is:

79504 = 2⁴ × 4969¹

Step-2: Prime Factorization of 79522

Prime factors of 79522 are 2, 39761. Prime factorization of 79522 in exponential form is:

79522 = 2¹ × 39761¹

Step-3: Factors of 79504

List of positive integer factors of 79504 that divides 79504 without a remainder.

1, 2, 4, 8, 16, 4969, 9938, 19876, 39752

Step-4: Factors of 79522

List of positive integer factors of 79522 that divides 79504 without a remainder.

1, 2, 39761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79504 and 79522. The biggest common factor number is the GCF number.
So the greatest common factor 79504 and 79522 is 2.

Also check out the Least Common Multiple of 79504 and 79522