What is the Greatest Common Factor of 36758 and 36767?

Greatest common factor (GCF) of 36758 and 36767 is 1.

GCF(36758,36767) = 1

We will now calculate the prime factors of 36758 and 36767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36758 and 36767.

How to find the GCF of 36758 and 36767?

We will first find the prime factorization of 36758 and 36767. After we will calculate the factors of 36758 and 36767 and find the biggest common factor number .

Step-1: Prime Factorization of 36758

Prime factors of 36758 are 2, 18379. Prime factorization of 36758 in exponential form is:

36758 = 2¹ × 18379¹

Step-2: Prime Factorization of 36767

Prime factors of 36767 are 36767. Prime factorization of 36767 in exponential form is:

36767 = 36767¹

Step-3: Factors of 36758

List of positive integer factors of 36758 that divides 36758 without a remainder.

1, 2, 18379

Step-4: Factors of 36767

List of positive integer factors of 36767 that divides 36758 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36758 and 36767. The biggest common factor number is the GCF number.
So the greatest common factor 36758 and 36767 is 1.

Also check out the Least Common Multiple of 36758 and 36767