What is the Greatest Common Factor of 36945 and 36961?

Greatest common factor (GCF) of 36945 and 36961 is 1.

GCF(36945,36961) = 1

We will now calculate the prime factors of 36945 and 36961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36945 and 36961.

How to find the GCF of 36945 and 36961?

We will first find the prime factorization of 36945 and 36961. After we will calculate the factors of 36945 and 36961 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 36961

Prime factors of 36961 are 23, 1607. Prime factorization of 36961 in exponential form is:

36961 = 23¹ × 1607¹

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 36961

List of positive integer factors of 36961 that divides 36945 without a remainder.

1, 23, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36945 and 36961. The biggest common factor number is the GCF number.
So the greatest common factor 36945 and 36961 is 1.

Also check out the Least Common Multiple of 36945 and 36961