What is the Greatest Common Factor of 79300 and 79310?

Greatest common factor (GCF) of 79300 and 79310 is 10.

GCF(79300,79310) = 10

We will now calculate the prime factors of 79300 and 79310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79300 and 79310.

How to find the GCF of 79300 and 79310?

We will first find the prime factorization of 79300 and 79310. After we will calculate the factors of 79300 and 79310 and find the biggest common factor number .

Step-1: Prime Factorization of 79300

Prime factors of 79300 are 2, 5, 13, 61. Prime factorization of 79300 in exponential form is:

79300 = 2² × 5² × 13¹ × 61¹

Step-2: 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-3: Factors of 79300

List of positive integer factors of 79300 that divides 79300 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 61, 65, 100, 122, 130, 244, 260, 305, 325, 610, 650, 793, 1220, 1300, 1525, 1586, 3050, 3172, 3965, 6100, 7930, 15860, 19825, 39650

Step-4: Factors of 79310

List of positive integer factors of 79310 that divides 79300 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79300 and 79310. The biggest common factor number is the GCF number.
So the greatest common factor 79300 and 79310 is 10.

Also check out the Least Common Multiple of 79300 and 79310