What is the Greatest Common Factor of 55892 and 55898?

Greatest common factor (GCF) of 55892 and 55898 is 2.

GCF(55892,55898) = 2

We will now calculate the prime factors of 55892 and 55898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55892 and 55898.

How to find the GCF of 55892 and 55898?

We will first find the prime factorization of 55892 and 55898. After we will calculate the factors of 55892 and 55898 and find the biggest common factor number .

Step-1: Prime Factorization of 55892

Prime factors of 55892 are 2, 89, 157. Prime factorization of 55892 in exponential form is:

55892 = 2² × 89¹ × 157¹

Step-2: Prime Factorization of 55898

Prime factors of 55898 are 2, 19, 1471. Prime factorization of 55898 in exponential form is:

55898 = 2¹ × 19¹ × 1471¹

Step-3: Factors of 55892

List of positive integer factors of 55892 that divides 55892 without a remainder.

1, 2, 4, 89, 157, 178, 314, 356, 628, 13973, 27946

Step-4: Factors of 55898

List of positive integer factors of 55898 that divides 55892 without a remainder.

1, 2, 19, 38, 1471, 2942, 27949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55892 and 55898. The biggest common factor number is the GCF number.
So the greatest common factor 55892 and 55898 is 2.

Also check out the Least Common Multiple of 55892 and 55898