What is the Greatest Common Factor of 80932 and 80946?

Greatest common factor (GCF) of 80932 and 80946 is 2.

GCF(80932,80946) = 2

We will now calculate the prime factors of 80932 and 80946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80932 and 80946.

How to find the GCF of 80932 and 80946?

We will first find the prime factorization of 80932 and 80946. After we will calculate the factors of 80932 and 80946 and find the biggest common factor number .

Step-1: Prime Factorization of 80932

Prime factors of 80932 are 2, 20233. Prime factorization of 80932 in exponential form is:

80932 = 2² × 20233¹

Step-2: Prime Factorization of 80946

Prime factors of 80946 are 2, 3, 1499. Prime factorization of 80946 in exponential form is:

80946 = 2¹ × 3³ × 1499¹

Step-3: Factors of 80932

List of positive integer factors of 80932 that divides 80932 without a remainder.

1, 2, 4, 20233, 40466

Step-4: Factors of 80946

List of positive integer factors of 80946 that divides 80932 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1499, 2998, 4497, 8994, 13491, 26982, 40473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80932 and 80946. The biggest common factor number is the GCF number.
So the greatest common factor 80932 and 80946 is 2.

Also check out the Least Common Multiple of 80932 and 80946