What is the Greatest Common Factor of 55251 and 55258?

Greatest common factor (GCF) of 55251 and 55258 is 7.

GCF(55251,55258) = 7

We will now calculate the prime factors of 55251 and 55258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55251 and 55258.

How to find the GCF of 55251 and 55258?

We will first find the prime factorization of 55251 and 55258. After we will calculate the factors of 55251 and 55258 and find the biggest common factor number .

Step-1: Prime Factorization of 55251

Prime factors of 55251 are 3, 7, 877. Prime factorization of 55251 in exponential form is:

55251 = 3² × 7¹ × 877¹

Step-2: Prime Factorization of 55258

Prime factors of 55258 are 2, 7, 3947. Prime factorization of 55258 in exponential form is:

55258 = 2¹ × 7¹ × 3947¹

Step-3: Factors of 55251

List of positive integer factors of 55251 that divides 55251 without a remainder.

1, 3, 7, 9, 21, 63, 877, 2631, 6139, 7893, 18417

Step-4: Factors of 55258

List of positive integer factors of 55258 that divides 55251 without a remainder.

1, 2, 7, 14, 3947, 7894, 27629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55251 and 55258. The biggest common factor number is the GCF number.
So the greatest common factor 55251 and 55258 is 7.

Also check out the Least Common Multiple of 55251 and 55258