What is the Greatest Common Factor of 43974 and 43989?

Greatest common factor (GCF) of 43974 and 43989 is 3.

GCF(43974,43989) = 3

We will now calculate the prime factors of 43974 and 43989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43989.

How to find the GCF of 43974 and 43989?

We will first find the prime factorization of 43974 and 43989. After we will calculate the factors of 43974 and 43989 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 43989

Prime factors of 43989 are 3, 11, 31, 43. Prime factorization of 43989 in exponential form is:

43989 = 3¹ × 11¹ × 31¹ × 43¹

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 43989

List of positive integer factors of 43989 that divides 43974 without a remainder.

1, 3, 11, 31, 33, 43, 93, 129, 341, 473, 1023, 1333, 1419, 3999, 14663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43989. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43989 is 3.

Also check out the Least Common Multiple of 43974 and 43989