What is the Greatest Common Factor of 79387 and 79398?

Greatest common factor (GCF) of 79387 and 79398 is 11.

GCF(79387,79398) = 11

We will now calculate the prime factors of 79387 and 79398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79387 and 79398.

How to find the GCF of 79387 and 79398?

We will first find the prime factorization of 79387 and 79398. After we will calculate the factors of 79387 and 79398 and find the biggest common factor number .

Step-1: Prime Factorization of 79387

Prime factors of 79387 are 7, 11, 1031. Prime factorization of 79387 in exponential form is:

79387 = 7¹ × 11¹ × 1031¹

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 79387

List of positive integer factors of 79387 that divides 79387 without a remainder.

1, 7, 11, 77, 1031, 7217, 11341

Step-4: Factors of 79398

List of positive integer factors of 79398 that divides 79387 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 79387 and 79398. The biggest common factor number is the GCF number.
So the greatest common factor 79387 and 79398 is 11.

Also check out the Least Common Multiple of 79387 and 79398