What is the Greatest Common Factor of 43974 and 43988?

Greatest common factor (GCF) of 43974 and 43988 is 14.

GCF(43974,43988) = 14

We will now calculate the prime factors of 43974 and 43988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43988.

How to find the GCF of 43974 and 43988?

We will first find the prime factorization of 43974 and 43988. After we will calculate the factors of 43974 and 43988 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 43988

Prime factors of 43988 are 2, 7, 1571. Prime factorization of 43988 in exponential form is:

43988 = 2² × 7¹ × 1571¹

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 43988

List of positive integer factors of 43988 that divides 43974 without a remainder.

1, 2, 4, 7, 14, 28, 1571, 3142, 6284, 10997, 21994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43988. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43988 is 14.

Also check out the Least Common Multiple of 43974 and 43988