What is the Greatest Common Factor of 55475 and 55495?

Greatest common factor (GCF) of 55475 and 55495 is 5.

GCF(55475,55495) = 5

We will now calculate the prime factors of 55475 and 55495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55475 and 55495.

How to find the GCF of 55475 and 55495?

We will first find the prime factorization of 55475 and 55495. After we will calculate the factors of 55475 and 55495 and find the biggest common factor number .

Step-1: Prime Factorization of 55475

Prime factors of 55475 are 5, 7, 317. Prime factorization of 55475 in exponential form is:

55475 = 5² × 7¹ × 317¹

Step-2: Prime Factorization of 55495

Prime factors of 55495 are 5, 11, 1009. Prime factorization of 55495 in exponential form is:

55495 = 5¹ × 11¹ × 1009¹

Step-3: Factors of 55475

List of positive integer factors of 55475 that divides 55475 without a remainder.

1, 5, 7, 25, 35, 175, 317, 1585, 2219, 7925, 11095

Step-4: Factors of 55495

List of positive integer factors of 55495 that divides 55475 without a remainder.

1, 5, 11, 55, 1009, 5045, 11099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55475 and 55495. The biggest common factor number is the GCF number.
So the greatest common factor 55475 and 55495 is 5.

Also check out the Least Common Multiple of 55475 and 55495