What is the Greatest Common Factor of 79310 and 79321?

Greatest common factor (GCF) of 79310 and 79321 is 11.

GCF(79310,79321) = 11

We will now calculate the prime factors of 79310 and 79321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79310 and 79321.

How to find the GCF of 79310 and 79321?

We will first find the prime factorization of 79310 and 79321. After we will calculate the factors of 79310 and 79321 and find the biggest common factor number .

Step-1: Prime Factorization of 79310

Prime factors of 79310 are 2, 5, 7, 11, 103. Prime factorization of 79310 in exponential form is:

79310 = 2¹ × 5¹ × 7¹ × 11¹ × 103¹

Step-2: Prime Factorization of 79321

Prime factors of 79321 are 11, 7211. Prime factorization of 79321 in exponential form is:

79321 = 11¹ × 7211¹

Step-3: Factors of 79310

List of positive integer factors of 79310 that divides 79310 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 103, 110, 154, 206, 385, 515, 721, 770, 1030, 1133, 1442, 2266, 3605, 5665, 7210, 7931, 11330, 15862, 39655

Step-4: Factors of 79321

List of positive integer factors of 79321 that divides 79310 without a remainder.

1, 11, 7211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79310 and 79321. The biggest common factor number is the GCF number.
So the greatest common factor 79310 and 79321 is 11.

Also check out the Least Common Multiple of 79310 and 79321