What is the Greatest Common Factor of 79310 and 79324?

Greatest common factor (GCF) of 79310 and 79324 is 14.

GCF(79310,79324) = 14

We will now calculate the prime factors of 79310 and 79324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79310 and 79324.

How to find the GCF of 79310 and 79324?

We will first find the prime factorization of 79310 and 79324. After we will calculate the factors of 79310 and 79324 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 79324

Prime factors of 79324 are 2, 7, 2833. Prime factorization of 79324 in exponential form is:

79324 = 2² × 7¹ × 2833¹

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 79324

List of positive integer factors of 79324 that divides 79310 without a remainder.

1, 2, 4, 7, 14, 28, 2833, 5666, 11332, 19831, 39662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79310 and 79324. The biggest common factor number is the GCF number.
So the greatest common factor 79310 and 79324 is 14.

Also check out the Least Common Multiple of 79310 and 79324