What is the Greatest Common Factor of 80940 and 80957?

Greatest common factor (GCF) of 80940 and 80957 is 1.

GCF(80940,80957) = 1

We will now calculate the prime factors of 80940 and 80957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80940 and 80957.

How to find the GCF of 80940 and 80957?

We will first find the prime factorization of 80940 and 80957. After we will calculate the factors of 80940 and 80957 and find the biggest common factor number .

Step-1: Prime Factorization of 80940

Prime factors of 80940 are 2, 3, 5, 19, 71. Prime factorization of 80940 in exponential form is:

80940 = 2² × 3¹ × 5¹ × 19¹ × 71¹

Step-2: Prime Factorization of 80957

Prime factors of 80957 are 73, 1109. Prime factorization of 80957 in exponential form is:

80957 = 73¹ × 1109¹

Step-3: Factors of 80940

List of positive integer factors of 80940 that divides 80940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 71, 76, 95, 114, 142, 190, 213, 228, 284, 285, 355, 380, 426, 570, 710, 852, 1065, 1140, 1349, 1420, 2130, 2698, 4047, 4260, 5396, 6745, 8094, 13490, 16188, 20235, 26980, 40470

Step-4: Factors of 80957

List of positive integer factors of 80957 that divides 80940 without a remainder.

1, 73, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80940 and 80957. The biggest common factor number is the GCF number.
So the greatest common factor 80940 and 80957 is 1.

Also check out the Least Common Multiple of 80940 and 80957