What is the Greatest Common Factor of 55138 and 55144?

Greatest common factor (GCF) of 55138 and 55144 is 2.

GCF(55138,55144) = 2

We will now calculate the prime factors of 55138 and 55144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55138 and 55144.

How to find the GCF of 55138 and 55144?

We will first find the prime factorization of 55138 and 55144. After we will calculate the factors of 55138 and 55144 and find the biggest common factor number .

Step-1: Prime Factorization of 55138

Prime factors of 55138 are 2, 19, 1451. Prime factorization of 55138 in exponential form is:

55138 = 2¹ × 19¹ × 1451¹

Step-2: Prime Factorization of 55144

Prime factors of 55144 are 2, 61, 113. Prime factorization of 55144 in exponential form is:

55144 = 2³ × 61¹ × 113¹

Step-3: Factors of 55138

List of positive integer factors of 55138 that divides 55138 without a remainder.

1, 2, 19, 38, 1451, 2902, 27569

Step-4: Factors of 55144

List of positive integer factors of 55144 that divides 55138 without a remainder.

1, 2, 4, 8, 61, 113, 122, 226, 244, 452, 488, 904, 6893, 13786, 27572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55138 and 55144. The biggest common factor number is the GCF number.
So the greatest common factor 55138 and 55144 is 2.

Also check out the Least Common Multiple of 55138 and 55144