What is the Greatest Common Factor of 55238 and 55242?

Greatest common factor (GCF) of 55238 and 55242 is 2.

GCF(55238,55242) = 2

We will now calculate the prime factors of 55238 and 55242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55238 and 55242.

How to find the GCF of 55238 and 55242?

We will first find the prime factorization of 55238 and 55242. After we will calculate the factors of 55238 and 55242 and find the biggest common factor number .

Step-1: Prime Factorization of 55238

Prime factors of 55238 are 2, 71, 389. Prime factorization of 55238 in exponential form is:

55238 = 2¹ × 71¹ × 389¹

Step-2: Prime Factorization of 55242

Prime factors of 55242 are 2, 3, 11, 31. Prime factorization of 55242 in exponential form is:

55242 = 2¹ × 3⁴ × 11¹ × 31¹

Step-3: Factors of 55238

List of positive integer factors of 55238 that divides 55238 without a remainder.

1, 2, 71, 142, 389, 778, 27619

Step-4: Factors of 55242

List of positive integer factors of 55242 that divides 55238 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 31, 33, 54, 62, 66, 81, 93, 99, 162, 186, 198, 279, 297, 341, 558, 594, 682, 837, 891, 1023, 1674, 1782, 2046, 2511, 3069, 5022, 6138, 9207, 18414, 27621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55238 and 55242. The biggest common factor number is the GCF number.
So the greatest common factor 55238 and 55242 is 2.

Also check out the Least Common Multiple of 55238 and 55242