What is the Greatest Common Factor of 40947 and 40967?

Greatest common factor (GCF) of 40947 and 40967 is 1.

GCF(40947,40967) = 1

We will now calculate the prime factors of 40947 and 40967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40947 and 40967.

How to find the GCF of 40947 and 40967?

We will first find the prime factorization of 40947 and 40967. After we will calculate the factors of 40947 and 40967 and find the biggest common factor number .

Step-1: Prime Factorization of 40947

Prime factors of 40947 are 3, 13649. Prime factorization of 40947 in exponential form is:

40947 = 3¹ × 13649¹

Step-2: Prime Factorization of 40967

Prime factors of 40967 are 71, 577. Prime factorization of 40967 in exponential form is:

40967 = 71¹ × 577¹

Step-3: Factors of 40947

List of positive integer factors of 40947 that divides 40947 without a remainder.

1, 3, 13649

Step-4: Factors of 40967

List of positive integer factors of 40967 that divides 40947 without a remainder.

1, 71, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40947 and 40967. The biggest common factor number is the GCF number.
So the greatest common factor 40947 and 40967 is 1.

Also check out the Least Common Multiple of 40947 and 40967