What is the Greatest Common Factor of 80937 and 80946?

Greatest common factor (GCF) of 80937 and 80946 is 9.

GCF(80937,80946) = 9

We will now calculate the prime factors of 80937 and 80946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80937 and 80946.

How to find the GCF of 80937 and 80946?

We will first find the prime factorization of 80937 and 80946. After we will calculate the factors of 80937 and 80946 and find the biggest common factor number .

Step-1: Prime Factorization of 80937

Prime factors of 80937 are 3, 17, 23. Prime factorization of 80937 in exponential form is:

80937 = 3² × 17¹ × 23²

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 80937

List of positive integer factors of 80937 that divides 80937 without a remainder.

1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 529, 1173, 1587, 3519, 4761, 8993, 26979

Step-4: Factors of 80946

List of positive integer factors of 80946 that divides 80937 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 80937 and 80946. The biggest common factor number is the GCF number.
So the greatest common factor 80937 and 80946 is 9.

Also check out the Least Common Multiple of 80937 and 80946