What is the Greatest Common Factor of 55308 and 55319?

Greatest common factor (GCF) of 55308 and 55319 is 11.

GCF(55308,55319) = 11

We will now calculate the prime factors of 55308 and 55319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55308 and 55319.

How to find the GCF of 55308 and 55319?

We will first find the prime factorization of 55308 and 55319. After we will calculate the factors of 55308 and 55319 and find the biggest common factor number .

Step-1: Prime Factorization of 55308

Prime factors of 55308 are 2, 3, 11, 419. Prime factorization of 55308 in exponential form is:

55308 = 2² × 3¹ × 11¹ × 419¹

Step-2: Prime Factorization of 55319

Prime factors of 55319 are 11, 47, 107. Prime factorization of 55319 in exponential form is:

55319 = 11¹ × 47¹ × 107¹

Step-3: Factors of 55308

List of positive integer factors of 55308 that divides 55308 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 419, 838, 1257, 1676, 2514, 4609, 5028, 9218, 13827, 18436, 27654

Step-4: Factors of 55319

List of positive integer factors of 55319 that divides 55308 without a remainder.

1, 11, 47, 107, 517, 1177, 5029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55308 and 55319. The biggest common factor number is the GCF number.
So the greatest common factor 55308 and 55319 is 11.

Also check out the Least Common Multiple of 55308 and 55319