What is the Greatest Common Factor of 55265 and 55270?

Greatest common factor (GCF) of 55265 and 55270 is 5.

GCF(55265,55270) = 5

We will now calculate the prime factors of 55265 and 55270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55265 and 55270.

How to find the GCF of 55265 and 55270?

We will first find the prime factorization of 55265 and 55270. After we will calculate the factors of 55265 and 55270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55270

Prime factors of 55270 are 2, 5, 5527. Prime factorization of 55270 in exponential form is:

55270 = 2¹ × 5¹ × 5527¹

Step-3: Factors of 55265

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

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

Step-4: Factors of 55270

List of positive integer factors of 55270 that divides 55265 without a remainder.

1, 2, 5, 10, 5527, 11054, 27635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55265 and 55270. The biggest common factor number is the GCF number.
So the greatest common factor 55265 and 55270 is 5.

Also check out the Least Common Multiple of 55265 and 55270