What is the Greatest Common Factor of 55258 and 55265?

Greatest common factor (GCF) of 55258 and 55265 is 7.

GCF(55258,55265) = 7

We will now calculate the prime factors of 55258 and 55265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55258 and 55265.

How to find the GCF of 55258 and 55265?

We will first find the prime factorization of 55258 and 55265. After we will calculate the factors of 55258 and 55265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55265

Prime factors of 55265 are 5, 7, 1579. Prime factorization of 55265 in exponential form is:

55265 = 5¹ × 7¹ × 1579¹

Step-3: Factors of 55258

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

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

Step-4: Factors of 55265

List of positive integer factors of 55265 that divides 55258 without a remainder.

1, 5, 7, 35, 1579, 7895, 11053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55258 and 55265. The biggest common factor number is the GCF number.
So the greatest common factor 55258 and 55265 is 7.

Also check out the Least Common Multiple of 55258 and 55265