What is the Greatest Common Factor of 78980 and 78991?

Greatest common factor (GCF) of 78980 and 78991 is 11.

GCF(78980,78991) = 11

We will now calculate the prime factors of 78980 and 78991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78980 and 78991.

How to find the GCF of 78980 and 78991?

We will first find the prime factorization of 78980 and 78991. After we will calculate the factors of 78980 and 78991 and find the biggest common factor number .

Step-1: Prime Factorization of 78980

Prime factors of 78980 are 2, 5, 11, 359. Prime factorization of 78980 in exponential form is:

78980 = 2² × 5¹ × 11¹ × 359¹

Step-2: 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-3: Factors of 78980

List of positive integer factors of 78980 that divides 78980 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 359, 718, 1436, 1795, 3590, 3949, 7180, 7898, 15796, 19745, 39490

Step-4: Factors of 78991

List of positive integer factors of 78991 that divides 78980 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78980 and 78991. The biggest common factor number is the GCF number.
So the greatest common factor 78980 and 78991 is 11.

Also check out the Least Common Multiple of 78980 and 78991