What is the Greatest Common Factor of 80952 and 80966?

Greatest common factor (GCF) of 80952 and 80966 is 2.

GCF(80952,80966) = 2

We will now calculate the prime factors of 80952 and 80966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80952 and 80966.

How to find the GCF of 80952 and 80966?

We will first find the prime factorization of 80952 and 80966. After we will calculate the factors of 80952 and 80966 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 80966

Prime factors of 80966 are 2, 40483. Prime factorization of 80966 in exponential form is:

80966 = 2¹ × 40483¹

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 80966

List of positive integer factors of 80966 that divides 80952 without a remainder.

1, 2, 40483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80952 and 80966. The biggest common factor number is the GCF number.
So the greatest common factor 80952 and 80966 is 2.

Also check out the Least Common Multiple of 80952 and 80966