What is the Greatest Common Factor of 5945 and 5965?

Greatest common factor (GCF) of 5945 and 5965 is 5.

GCF(5945,5965) = 5

We will now calculate the prime factors of 5945 and 5965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5945 and 5965.

How to find the GCF of 5945 and 5965?

We will first find the prime factorization of 5945 and 5965. After we will calculate the factors of 5945 and 5965 and find the biggest common factor number .

Step-1: Prime Factorization of 5945

Prime factors of 5945 are 5, 29, 41. Prime factorization of 5945 in exponential form is:

5945 = 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 5965

Prime factors of 5965 are 5, 1193. Prime factorization of 5965 in exponential form is:

5965 = 5¹ × 1193¹

Step-3: Factors of 5945

List of positive integer factors of 5945 that divides 5945 without a remainder.

1, 5, 29, 41, 145, 205, 1189

Step-4: Factors of 5965

List of positive integer factors of 5965 that divides 5945 without a remainder.

1, 5, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5945 and 5965. The biggest common factor number is the GCF number.
So the greatest common factor 5945 and 5965 is 5.

Also check out the Least Common Multiple of 5945 and 5965