What is the Greatest Common Factor of 43974 and 43990?

Greatest common factor (GCF) of 43974 and 43990 is 2.

GCF(43974,43990) = 2

We will now calculate the prime factors of 43974 and 43990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43990.

How to find the GCF of 43974 and 43990?

We will first find the prime factorization of 43974 and 43990. After we will calculate the factors of 43974 and 43990 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 43990

Prime factors of 43990 are 2, 5, 53, 83. Prime factorization of 43990 in exponential form is:

43990 = 2¹ × 5¹ × 53¹ × 83¹

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 43990

List of positive integer factors of 43990 that divides 43974 without a remainder.

1, 2, 5, 10, 53, 83, 106, 166, 265, 415, 530, 830, 4399, 8798, 21995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43990. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43990 is 2.

Also check out the Least Common Multiple of 43974 and 43990