What is the Greatest Common Factor of 5954 and 5962?

Greatest common factor (GCF) of 5954 and 5962 is 2.

GCF(5954,5962) = 2

We will now calculate the prime factors of 5954 and 5962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5954 and 5962.

How to find the GCF of 5954 and 5962?

We will first find the prime factorization of 5954 and 5962. After we will calculate the factors of 5954 and 5962 and find the biggest common factor number .

Step-1: Prime Factorization of 5954

Prime factors of 5954 are 2, 13, 229. Prime factorization of 5954 in exponential form is:

5954 = 2¹ × 13¹ × 229¹

Step-2: Prime Factorization of 5962

Prime factors of 5962 are 2, 11, 271. Prime factorization of 5962 in exponential form is:

5962 = 2¹ × 11¹ × 271¹

Step-3: Factors of 5954

List of positive integer factors of 5954 that divides 5954 without a remainder.

1, 2, 13, 26, 229, 458, 2977

Step-4: Factors of 5962

List of positive integer factors of 5962 that divides 5954 without a remainder.

1, 2, 11, 22, 271, 542, 2981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5954 and 5962. The biggest common factor number is the GCF number.
So the greatest common factor 5954 and 5962 is 2.

Also check out the Least Common Multiple of 5954 and 5962