What is the Greatest Common Factor of 36945 and 36949?

Greatest common factor (GCF) of 36945 and 36949 is 1.

GCF(36945,36949) = 1

We will now calculate the prime factors of 36945 and 36949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36945 and 36949.

How to find the GCF of 36945 and 36949?

We will first find the prime factorization of 36945 and 36949. After we will calculate the factors of 36945 and 36949 and find the biggest common factor number .

Step-1: Prime Factorization of 36945

Prime factors of 36945 are 3, 5, 821. Prime factorization of 36945 in exponential form is:

36945 = 3² × 5¹ × 821¹

Step-2: Prime Factorization of 36949

Prime factors of 36949 are 11, 3359. Prime factorization of 36949 in exponential form is:

36949 = 11¹ × 3359¹

Step-3: Factors of 36945

List of positive integer factors of 36945 that divides 36945 without a remainder.

1, 3, 5, 9, 15, 45, 821, 2463, 4105, 7389, 12315

Step-4: Factors of 36949

List of positive integer factors of 36949 that divides 36945 without a remainder.

1, 11, 3359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36945 and 36949. The biggest common factor number is the GCF number.
So the greatest common factor 36945 and 36949 is 1.

Also check out the Least Common Multiple of 36945 and 36949