What is the Greatest Common Factor of 43974 and 43982?

Greatest common factor (GCF) of 43974 and 43982 is 2.

GCF(43974,43982) = 2

We will now calculate the prime factors of 43974 and 43982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43982.

How to find the GCF of 43974 and 43982?

We will first find the prime factorization of 43974 and 43982. After we will calculate the factors of 43974 and 43982 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 43982

Prime factors of 43982 are 2, 21991. Prime factorization of 43982 in exponential form is:

43982 = 2¹ × 21991¹

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 43982

List of positive integer factors of 43982 that divides 43974 without a remainder.

1, 2, 21991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43982. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43982 is 2.

Also check out the Least Common Multiple of 43974 and 43982