What is the Greatest Common Factor of 96949 and 96967?

Greatest common factor (GCF) of 96949 and 96967 is 1.

GCF(96949,96967) = 1

We will now calculate the prime factors of 96949 and 96967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96949 and 96967.

How to find the GCF of 96949 and 96967?

We will first find the prime factorization of 96949 and 96967. After we will calculate the factors of 96949 and 96967 and find the biggest common factor number .

Step-1: Prime Factorization of 96949

Prime factors of 96949 are 67, 1447. Prime factorization of 96949 in exponential form is:

96949 = 67¹ × 1447¹

Step-2: Prime Factorization of 96967

Prime factors of 96967 are 13, 7459. Prime factorization of 96967 in exponential form is:

96967 = 13¹ × 7459¹

Step-3: Factors of 96949

List of positive integer factors of 96949 that divides 96949 without a remainder.

1, 67, 1447

Step-4: Factors of 96967

List of positive integer factors of 96967 that divides 96949 without a remainder.

1, 13, 7459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96949 and 96967. The biggest common factor number is the GCF number.
So the greatest common factor 96949 and 96967 is 1.

Also check out the Least Common Multiple of 96949 and 96967