What is the Greatest Common Factor of 36745 and 36749?

Greatest common factor (GCF) of 36745 and 36749 is 1.

GCF(36745,36749) = 1

We will now calculate the prime factors of 36745 and 36749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36745 and 36749.

How to find the GCF of 36745 and 36749?

We will first find the prime factorization of 36745 and 36749. After we will calculate the factors of 36745 and 36749 and find the biggest common factor number .

Step-1: Prime Factorization of 36745

Prime factors of 36745 are 5, 7349. Prime factorization of 36745 in exponential form is:

36745 = 5¹ × 7349¹

Step-2: Prime Factorization of 36749

Prime factors of 36749 are 36749. Prime factorization of 36749 in exponential form is:

36749 = 36749¹

Step-3: Factors of 36745

List of positive integer factors of 36745 that divides 36745 without a remainder.

1, 5, 7349

Step-4: Factors of 36749

List of positive integer factors of 36749 that divides 36745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36745 and 36749. The biggest common factor number is the GCF number.
So the greatest common factor 36745 and 36749 is 1.

Also check out the Least Common Multiple of 36745 and 36749