What is the Greatest Common Factor of 36958 and 36971?

Greatest common factor (GCF) of 36958 and 36971 is 1.

GCF(36958,36971) = 1

We will now calculate the prime factors of 36958 and 36971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36958 and 36971.

How to find the GCF of 36958 and 36971?

We will first find the prime factorization of 36958 and 36971. After we will calculate the factors of 36958 and 36971 and find the biggest common factor number .

Step-1: Prime Factorization of 36958

Prime factors of 36958 are 2, 17, 1087. Prime factorization of 36958 in exponential form is:

36958 = 2¹ × 17¹ × 1087¹

Step-2: Prime Factorization of 36971

Prime factors of 36971 are 11, 3361. Prime factorization of 36971 in exponential form is:

36971 = 11¹ × 3361¹

Step-3: Factors of 36958

List of positive integer factors of 36958 that divides 36958 without a remainder.

1, 2, 17, 34, 1087, 2174, 18479

Step-4: Factors of 36971

List of positive integer factors of 36971 that divides 36958 without a remainder.

1, 11, 3361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36958 and 36971. The biggest common factor number is the GCF number.
So the greatest common factor 36958 and 36971 is 1.

Also check out the Least Common Multiple of 36958 and 36971