What is the Greatest Common Factor of 80941 and 80952?

Greatest common factor (GCF) of 80941 and 80952 is 1.

GCF(80941,80952) = 1

We will now calculate the prime factors of 80941 and 80952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80941 and 80952.

How to find the GCF of 80941 and 80952?

We will first find the prime factorization of 80941 and 80952. After we will calculate the factors of 80941 and 80952 and find the biggest common factor number .

Step-1: Prime Factorization of 80941

Prime factors of 80941 are 7, 31, 373. Prime factorization of 80941 in exponential form is:

80941 = 7¹ × 31¹ × 373¹

Step-2: Prime Factorization of 80952

Prime factors of 80952 are 2, 3, 3373. Prime factorization of 80952 in exponential form is:

80952 = 2³ × 3¹ × 3373¹

Step-3: Factors of 80941

List of positive integer factors of 80941 that divides 80941 without a remainder.

1, 7, 31, 217, 373, 2611, 11563

Step-4: Factors of 80952

List of positive integer factors of 80952 that divides 80941 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3373, 6746, 10119, 13492, 20238, 26984, 40476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80941 and 80952. The biggest common factor number is the GCF number.
So the greatest common factor 80941 and 80952 is 1.

Also check out the Least Common Multiple of 80941 and 80952