What is the Greatest Common Factor of 5945 and 5951?

Greatest common factor (GCF) of 5945 and 5951 is 1.

GCF(5945,5951) = 1

We will now calculate the prime factors of 5945 and 5951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5945 and 5951.

How to find the GCF of 5945 and 5951?

We will first find the prime factorization of 5945 and 5951. After we will calculate the factors of 5945 and 5951 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 5951

Prime factors of 5951 are 11, 541. Prime factorization of 5951 in exponential form is:

5951 = 11¹ × 541¹

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 5951

List of positive integer factors of 5951 that divides 5945 without a remainder.

1, 11, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5945 and 5951. The biggest common factor number is the GCF number.
So the greatest common factor 5945 and 5951 is 1.

Also check out the Least Common Multiple of 5945 and 5951