What is the Greatest Common Factor of 58949 and 58966?

Greatest common factor (GCF) of 58949 and 58966 is 1.

GCF(58949,58966) = 1

We will now calculate the prime factors of 58949 and 58966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58949 and 58966.

How to find the GCF of 58949 and 58966?

We will first find the prime factorization of 58949 and 58966. After we will calculate the factors of 58949 and 58966 and find the biggest common factor number .

Step-1: Prime Factorization of 58949

Prime factors of 58949 are 11, 23, 233. Prime factorization of 58949 in exponential form is:

58949 = 11¹ × 23¹ × 233¹

Step-2: Prime Factorization of 58966

Prime factors of 58966 are 2, 29483. Prime factorization of 58966 in exponential form is:

58966 = 2¹ × 29483¹

Step-3: Factors of 58949

List of positive integer factors of 58949 that divides 58949 without a remainder.

1, 11, 23, 233, 253, 2563, 5359

Step-4: Factors of 58966

List of positive integer factors of 58966 that divides 58949 without a remainder.

1, 2, 29483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58949 and 58966. The biggest common factor number is the GCF number.
So the greatest common factor 58949 and 58966 is 1.

Also check out the Least Common Multiple of 58949 and 58966