What is the Greatest Common Factor of 79208 and 79222?

Greatest common factor (GCF) of 79208 and 79222 is 2.

GCF(79208,79222) = 2

We will now calculate the prime factors of 79208 and 79222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79208 and 79222.

How to find the GCF of 79208 and 79222?

We will first find the prime factorization of 79208 and 79222. After we will calculate the factors of 79208 and 79222 and find the biggest common factor number .

Step-1: Prime Factorization of 79208

Prime factors of 79208 are 2, 9901. Prime factorization of 79208 in exponential form is:

79208 = 2³ × 9901¹

Step-2: Prime Factorization of 79222

Prime factors of 79222 are 2, 11, 13, 277. Prime factorization of 79222 in exponential form is:

79222 = 2¹ × 11¹ × 13¹ × 277¹

Step-3: Factors of 79208

List of positive integer factors of 79208 that divides 79208 without a remainder.

1, 2, 4, 8, 9901, 19802, 39604

Step-4: Factors of 79222

List of positive integer factors of 79222 that divides 79208 without a remainder.

1, 2, 11, 13, 22, 26, 143, 277, 286, 554, 3047, 3601, 6094, 7202, 39611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79208 and 79222. The biggest common factor number is the GCF number.
So the greatest common factor 79208 and 79222 is 2.

Also check out the Least Common Multiple of 79208 and 79222