What is the Greatest Common Factor of 83954 and 83967?

Greatest common factor (GCF) of 83954 and 83967 is 13.

GCF(83954,83967) = 13

We will now calculate the prime factors of 83954 and 83967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83954 and 83967.

How to find the GCF of 83954 and 83967?

We will first find the prime factorization of 83954 and 83967. After we will calculate the factors of 83954 and 83967 and find the biggest common factor number .

Step-1: Prime Factorization of 83954

Prime factors of 83954 are 2, 13, 3229. Prime factorization of 83954 in exponential form is:

83954 = 2¹ × 13¹ × 3229¹

Step-2: Prime Factorization of 83967

Prime factors of 83967 are 3, 13, 2153. Prime factorization of 83967 in exponential form is:

83967 = 3¹ × 13¹ × 2153¹

Step-3: Factors of 83954

List of positive integer factors of 83954 that divides 83954 without a remainder.

1, 2, 13, 26, 3229, 6458, 41977

Step-4: Factors of 83967

List of positive integer factors of 83967 that divides 83954 without a remainder.

1, 3, 13, 39, 2153, 6459, 27989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83954 and 83967. The biggest common factor number is the GCF number.
So the greatest common factor 83954 and 83967 is 13.

Also check out the Least Common Multiple of 83954 and 83967