What is the Greatest Common Factor of 55945 and 55962?

Greatest common factor (GCF) of 55945 and 55962 is 1.

GCF(55945,55962) = 1

We will now calculate the prime factors of 55945 and 55962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55945 and 55962.

How to find the GCF of 55945 and 55962?

We will first find the prime factorization of 55945 and 55962. After we will calculate the factors of 55945 and 55962 and find the biggest common factor number .

Step-1: Prime Factorization of 55945

Prime factors of 55945 are 5, 67, 167. Prime factorization of 55945 in exponential form is:

55945 = 5¹ × 67¹ × 167¹

Step-2: Prime Factorization of 55962

Prime factors of 55962 are 2, 3, 3109. Prime factorization of 55962 in exponential form is:

55962 = 2¹ × 3² × 3109¹

Step-3: Factors of 55945

List of positive integer factors of 55945 that divides 55945 without a remainder.

1, 5, 67, 167, 335, 835, 11189

Step-4: Factors of 55962

List of positive integer factors of 55962 that divides 55945 without a remainder.

1, 2, 3, 6, 9, 18, 3109, 6218, 9327, 18654, 27981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55945 and 55962. The biggest common factor number is the GCF number.
So the greatest common factor 55945 and 55962 is 1.

Also check out the Least Common Multiple of 55945 and 55962