What is the Greatest Common Factor of 43954 and 43967?

Greatest common factor (GCF) of 43954 and 43967 is 1.

GCF(43954,43967) = 1

We will now calculate the prime factors of 43954 and 43967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43954 and 43967.

How to find the GCF of 43954 and 43967?

We will first find the prime factorization of 43954 and 43967. After we will calculate the factors of 43954 and 43967 and find the biggest common factor number .

Step-1: Prime Factorization of 43954

Prime factors of 43954 are 2, 21977. Prime factorization of 43954 in exponential form is:

43954 = 2¹ × 21977¹

Step-2: Prime Factorization of 43967

Prime factors of 43967 are 7, 11, 571. Prime factorization of 43967 in exponential form is:

43967 = 7¹ × 11¹ × 571¹

Step-3: Factors of 43954

List of positive integer factors of 43954 that divides 43954 without a remainder.

1, 2, 21977

Step-4: Factors of 43967

List of positive integer factors of 43967 that divides 43954 without a remainder.

1, 7, 11, 77, 571, 3997, 6281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43954 and 43967. The biggest common factor number is the GCF number.
So the greatest common factor 43954 and 43967 is 1.

Also check out the Least Common Multiple of 43954 and 43967