What is the Greatest Common Factor of 43974 and 43978?

Greatest common factor (GCF) of 43974 and 43978 is 2.

GCF(43974,43978) = 2

We will now calculate the prime factors of 43974 and 43978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43978.

How to find the GCF of 43974 and 43978?

We will first find the prime factorization of 43974 and 43978. After we will calculate the factors of 43974 and 43978 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 43978

Prime factors of 43978 are 2, 11, 1999. Prime factorization of 43978 in exponential form is:

43978 = 2¹ × 11¹ × 1999¹

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 43978

List of positive integer factors of 43978 that divides 43974 without a remainder.

1, 2, 11, 22, 1999, 3998, 21989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43978. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43978 is 2.

Also check out the Least Common Multiple of 43974 and 43978