What is the Greatest Common Factor of 43974 and 43991?

Greatest common factor (GCF) of 43974 and 43991 is 1.

GCF(43974,43991) = 1

We will now calculate the prime factors of 43974 and 43991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43991.

How to find the GCF of 43974 and 43991?

We will first find the prime factorization of 43974 and 43991. After we will calculate the factors of 43974 and 43991 and find the biggest common factor number .

Step-1: Prime Factorization of 43974

Prime factors of 43974 are 2, 3, 7, 349. Prime factorization of 43974 in exponential form is:

43974 = 2¹ × 3² × 7¹ × 349¹

Step-2: Prime Factorization of 43991

Prime factors of 43991 are 43991. Prime factorization of 43991 in exponential form is:

43991 = 43991¹

Step-3: Factors of 43974

List of positive integer factors of 43974 that divides 43974 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 349, 698, 1047, 2094, 2443, 3141, 4886, 6282, 7329, 14658, 21987

Step-4: Factors of 43991

List of positive integer factors of 43991 that divides 43974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43991. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43991 is 1.

Also check out the Least Common Multiple of 43974 and 43991