What is the Greatest Common Factor of 43974 and 43985?

Greatest common factor (GCF) of 43974 and 43985 is 1.

GCF(43974,43985) = 1

We will now calculate the prime factors of 43974 and 43985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43974 and 43985.

How to find the GCF of 43974 and 43985?

We will first find the prime factorization of 43974 and 43985. After we will calculate the factors of 43974 and 43985 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 43985

Prime factors of 43985 are 5, 19, 463. Prime factorization of 43985 in exponential form is:

43985 = 5¹ × 19¹ × 463¹

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 43985

List of positive integer factors of 43985 that divides 43974 without a remainder.

1, 5, 19, 95, 463, 2315, 8797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43974 and 43985. The biggest common factor number is the GCF number.
So the greatest common factor 43974 and 43985 is 1.

Also check out the Least Common Multiple of 43974 and 43985