What is the Greatest Common Factor of 80952 and 80961?

Greatest common factor (GCF) of 80952 and 80961 is 3.

GCF(80952,80961) = 3

We will now calculate the prime factors of 80952 and 80961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80952 and 80961.

How to find the GCF of 80952 and 80961?

We will first find the prime factorization of 80952 and 80961. After we will calculate the factors of 80952 and 80961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80961

Prime factors of 80961 are 3, 26987. Prime factorization of 80961 in exponential form is:

80961 = 3¹ × 26987¹

Step-3: Factors of 80952

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

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

Step-4: Factors of 80961

List of positive integer factors of 80961 that divides 80952 without a remainder.

1, 3, 26987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80952 and 80961. The biggest common factor number is the GCF number.
So the greatest common factor 80952 and 80961 is 3.

Also check out the Least Common Multiple of 80952 and 80961