What is the Greatest Common Factor of 79310 and 79317?

Greatest common factor (GCF) of 79310 and 79317 is 7.

GCF(79310,79317) = 7

We will now calculate the prime factors of 79310 and 79317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79310 and 79317.

How to find the GCF of 79310 and 79317?

We will first find the prime factorization of 79310 and 79317. After we will calculate the factors of 79310 and 79317 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 79317

Prime factors of 79317 are 3, 7, 1259. Prime factorization of 79317 in exponential form is:

79317 = 3² × 7¹ × 1259¹

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 79317

List of positive integer factors of 79317 that divides 79310 without a remainder.

1, 3, 7, 9, 21, 63, 1259, 3777, 8813, 11331, 26439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79310 and 79317. The biggest common factor number is the GCF number.
So the greatest common factor 79310 and 79317 is 7.

Also check out the Least Common Multiple of 79310 and 79317