What is the Greatest Common Factor of 79378 and 79398?

Greatest common factor (GCF) of 79378 and 79398 is 2.

GCF(79378,79398) = 2

We will now calculate the prime factors of 79378 and 79398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79378 and 79398.

How to find the GCF of 79378 and 79398?

We will first find the prime factorization of 79378 and 79398. After we will calculate the factors of 79378 and 79398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79398

Prime factors of 79398 are 2, 3, 11, 401. Prime factorization of 79398 in exponential form is:

79398 = 2¹ × 3² × 11¹ × 401¹

Step-3: Factors of 79378

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

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

Step-4: Factors of 79398

List of positive integer factors of 79398 that divides 79378 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 401, 802, 1203, 2406, 3609, 4411, 7218, 8822, 13233, 26466, 39699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79378 and 79398. The biggest common factor number is the GCF number.
So the greatest common factor 79378 and 79398 is 2.

Also check out the Least Common Multiple of 79378 and 79398