What is the Greatest Common Factor of 78991 and 79008?

Greatest common factor (GCF) of 78991 and 79008 is 1.

GCF(78991,79008) = 1

We will now calculate the prime factors of 78991 and 79008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78991 and 79008.

How to find the GCF of 78991 and 79008?

We will first find the prime factorization of 78991 and 79008. After we will calculate the factors of 78991 and 79008 and find the biggest common factor number .

Step-1: Prime Factorization of 78991

Prime factors of 78991 are 11, 43, 167. Prime factorization of 78991 in exponential form is:

78991 = 11¹ × 43¹ × 167¹

Step-2: Prime Factorization of 79008

Prime factors of 79008 are 2, 3, 823. Prime factorization of 79008 in exponential form is:

79008 = 2⁵ × 3¹ × 823¹

Step-3: Factors of 78991

List of positive integer factors of 78991 that divides 78991 without a remainder.

1, 11, 43, 167, 473, 1837, 7181

Step-4: Factors of 79008

List of positive integer factors of 79008 that divides 78991 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752, 26336, 39504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78991 and 79008. The biggest common factor number is the GCF number.
So the greatest common factor 78991 and 79008 is 1.

Also check out the Least Common Multiple of 78991 and 79008