What is the Greatest Common Factor of 79222 and 79233?

Greatest common factor (GCF) of 79222 and 79233 is 11.

GCF(79222,79233) = 11

We will now calculate the prime factors of 79222 and 79233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79222 and 79233.

How to find the GCF of 79222 and 79233?

We will first find the prime factorization of 79222 and 79233. After we will calculate the factors of 79222 and 79233 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 79233

Prime factors of 79233 are 3, 7, 11. Prime factorization of 79233 in exponential form is:

79233 = 3¹ × 7⁴ × 11¹

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 79233

List of positive integer factors of 79233 that divides 79222 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 343, 539, 1029, 1617, 2401, 3773, 7203, 11319, 26411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79222 and 79233. The biggest common factor number is the GCF number.
So the greatest common factor 79222 and 79233 is 11.

Also check out the Least Common Multiple of 79222 and 79233