What is the Greatest Common Factor of 40931 and 40942?

Greatest common factor (GCF) of 40931 and 40942 is 11.

GCF(40931,40942) = 11

We will now calculate the prime factors of 40931 and 40942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40931 and 40942.

How to find the GCF of 40931 and 40942?

We will first find the prime factorization of 40931 and 40942. After we will calculate the factors of 40931 and 40942 and find the biggest common factor number .

Step-1: Prime Factorization of 40931

Prime factors of 40931 are 11, 61. Prime factorization of 40931 in exponential form is:

40931 = 11¹ × 61²

Step-2: Prime Factorization of 40942

Prime factors of 40942 are 2, 11, 1861. Prime factorization of 40942 in exponential form is:

40942 = 2¹ × 11¹ × 1861¹

Step-3: Factors of 40931

List of positive integer factors of 40931 that divides 40931 without a remainder.

1, 11, 61, 671, 3721

Step-4: Factors of 40942

List of positive integer factors of 40942 that divides 40931 without a remainder.

1, 2, 11, 22, 1861, 3722, 20471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40931 and 40942. The biggest common factor number is the GCF number.
So the greatest common factor 40931 and 40942 is 11.

Also check out the Least Common Multiple of 40931 and 40942