What is the Greatest Common Factor of 43974 and 43980?

Greatest common factor (GCF) of 43974 and 43980 is 6.

GCF(43974,43980) = 6

We will now calculate the prime factors of 43974 and 43980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43980.

How to find the GCF of 43974 and 43980?

We will first find the prime factorization of 43974 and 43980. After we will calculate the factors of 43974 and 43980 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 43980

Prime factors of 43980 are 2, 3, 5, 733. Prime factorization of 43980 in exponential form is:

43980 = 2² × 3¹ × 5¹ × 733¹

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 43980

List of positive integer factors of 43980 that divides 43974 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 733, 1466, 2199, 2932, 3665, 4398, 7330, 8796, 10995, 14660, 21990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43980. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43980 is 6.

Also check out the Least Common Multiple of 43974 and 43980