What is the Greatest Common Factor of 80946 and 80962?

Greatest common factor (GCF) of 80946 and 80962 is 2.

GCF(80946,80962) = 2

We will now calculate the prime factors of 80946 and 80962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80946 and 80962.

How to find the GCF of 80946 and 80962?

We will first find the prime factorization of 80946 and 80962. After we will calculate the factors of 80946 and 80962 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80962

Prime factors of 80962 are 2, 7, 5783. Prime factorization of 80962 in exponential form is:

80962 = 2¹ × 7¹ × 5783¹

Step-3: Factors of 80946

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

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

Step-4: Factors of 80962

List of positive integer factors of 80962 that divides 80946 without a remainder.

1, 2, 7, 14, 5783, 11566, 40481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80946 and 80962. The biggest common factor number is the GCF number.
So the greatest common factor 80946 and 80962 is 2.

Also check out the Least Common Multiple of 80946 and 80962