What is the Greatest Common Factor of 79222 and 79235?

Greatest common factor (GCF) of 79222 and 79235 is 13.

GCF(79222,79235) = 13

We will now calculate the prime factors of 79222 and 79235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79222 and 79235.

How to find the GCF of 79222 and 79235?

We will first find the prime factorization of 79222 and 79235. After we will calculate the factors of 79222 and 79235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79235

Prime factors of 79235 are 5, 13, 23, 53. Prime factorization of 79235 in exponential form is:

79235 = 5¹ × 13¹ × 23¹ × 53¹

Step-3: Factors of 79222

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

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

Step-4: Factors of 79235

List of positive integer factors of 79235 that divides 79222 without a remainder.

1, 5, 13, 23, 53, 65, 115, 265, 299, 689, 1219, 1495, 3445, 6095, 15847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79222 and 79235. The biggest common factor number is the GCF number.
So the greatest common factor 79222 and 79235 is 13.

Also check out the Least Common Multiple of 79222 and 79235