What is the Greatest Common Factor of 55475 and 55482?

Greatest common factor (GCF) of 55475 and 55482 is 7.

GCF(55475,55482) = 7

We will now calculate the prime factors of 55475 and 55482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55475 and 55482.

How to find the GCF of 55475 and 55482?

We will first find the prime factorization of 55475 and 55482. After we will calculate the factors of 55475 and 55482 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 55482

Prime factors of 55482 are 2, 3, 7, 1321. Prime factorization of 55482 in exponential form is:

55482 = 2¹ × 3¹ × 7¹ × 1321¹

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 55482

List of positive integer factors of 55482 that divides 55475 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1321, 2642, 3963, 7926, 9247, 18494, 27741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55475 and 55482. The biggest common factor number is the GCF number.
So the greatest common factor 55475 and 55482 is 7.

Also check out the Least Common Multiple of 55475 and 55482