What is the Greatest Common Factor of 40929 and 40943?

Greatest common factor (GCF) of 40929 and 40943 is 7.

GCF(40929,40943) = 7

We will now calculate the prime factors of 40929 and 40943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40929 and 40943.

How to find the GCF of 40929 and 40943?

We will first find the prime factorization of 40929 and 40943. After we will calculate the factors of 40929 and 40943 and find the biggest common factor number .

Step-1: Prime Factorization of 40929

Prime factors of 40929 are 3, 7, 1949. Prime factorization of 40929 in exponential form is:

40929 = 3¹ × 7¹ × 1949¹

Step-2: Prime Factorization of 40943

Prime factors of 40943 are 7, 5849. Prime factorization of 40943 in exponential form is:

40943 = 7¹ × 5849¹

Step-3: Factors of 40929

List of positive integer factors of 40929 that divides 40929 without a remainder.

1, 3, 7, 21, 1949, 5847, 13643

Step-4: Factors of 40943

List of positive integer factors of 40943 that divides 40929 without a remainder.

1, 7, 5849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40929 and 40943. The biggest common factor number is the GCF number.
So the greatest common factor 40929 and 40943 is 7.

Also check out the Least Common Multiple of 40929 and 40943