What is the Greatest Common Factor of 34976 and 34993?

Greatest common factor (GCF) of 34976 and 34993 is 1.

GCF(34976,34993) = 1

We will now calculate the prime factors of 34976 and 34993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34976 and 34993.

How to find the GCF of 34976 and 34993?

We will first find the prime factorization of 34976 and 34993. After we will calculate the factors of 34976 and 34993 and find the biggest common factor number .

Step-1: Prime Factorization of 34976

Prime factors of 34976 are 2, 1093. Prime factorization of 34976 in exponential form is:

34976 = 2⁵ × 1093¹

Step-2: Prime Factorization of 34993

Prime factors of 34993 are 7, 4999. Prime factorization of 34993 in exponential form is:

34993 = 7¹ × 4999¹

Step-3: Factors of 34976

List of positive integer factors of 34976 that divides 34976 without a remainder.

1, 2, 4, 8, 16, 32, 1093, 2186, 4372, 8744, 17488

Step-4: Factors of 34993

List of positive integer factors of 34993 that divides 34976 without a remainder.

1, 7, 4999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34976 and 34993. The biggest common factor number is the GCF number.
So the greatest common factor 34976 and 34993 is 1.

Also check out the Least Common Multiple of 34976 and 34993