What is the Greatest Common Factor of 79360 and 79378?

Greatest common factor (GCF) of 79360 and 79378 is 2.

GCF(79360,79378) = 2

We will now calculate the prime factors of 79360 and 79378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79360 and 79378.

How to find the GCF of 79360 and 79378?

We will first find the prime factorization of 79360 and 79378. After we will calculate the factors of 79360 and 79378 and find the biggest common factor number .

Step-1: Prime Factorization of 79360

Prime factors of 79360 are 2, 5, 31. Prime factorization of 79360 in exponential form is:

79360 = 2⁹ × 5¹ × 31¹

Step-2: Prime Factorization of 79378

Prime factors of 79378 are 2, 13, 43, 71. Prime factorization of 79378 in exponential form is:

79378 = 2¹ × 13¹ × 43¹ × 71¹

Step-3: Factors of 79360

List of positive integer factors of 79360 that divides 79360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 128, 155, 160, 248, 256, 310, 320, 496, 512, 620, 640, 992, 1240, 1280, 1984, 2480, 2560, 3968, 4960, 7936, 9920, 15872, 19840, 39680

Step-4: Factors of 79378

List of positive integer factors of 79378 that divides 79360 without a remainder.

1, 2, 13, 26, 43, 71, 86, 142, 559, 923, 1118, 1846, 3053, 6106, 39689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79360 and 79378. The biggest common factor number is the GCF number.
So the greatest common factor 79360 and 79378 is 2.

Also check out the Least Common Multiple of 79360 and 79378