What is the Greatest Common Factor of 83967 and 83972?

Greatest common factor (GCF) of 83967 and 83972 is 1.

GCF(83967,83972) = 1

We will now calculate the prime factors of 83967 and 83972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83967 and 83972.

How to find the GCF of 83967 and 83972?

We will first find the prime factorization of 83967 and 83972. After we will calculate the factors of 83967 and 83972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83972

Prime factors of 83972 are 2, 7, 2999. Prime factorization of 83972 in exponential form is:

83972 = 2² × 7¹ × 2999¹

Step-3: Factors of 83967

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

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

Step-4: Factors of 83972

List of positive integer factors of 83972 that divides 83967 without a remainder.

1, 2, 4, 7, 14, 28, 2999, 5998, 11996, 20993, 41986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83967 and 83972. The biggest common factor number is the GCF number.
So the greatest common factor 83967 and 83972 is 1.

Also check out the Least Common Multiple of 83967 and 83972