What is the Greatest Common Factor of 21838 and 21853?

Greatest common factor (GCF) of 21838 and 21853 is 1.

GCF(21838,21853) = 1

We will now calculate the prime factors of 21838 and 21853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21838 and 21853.

How to find the GCF of 21838 and 21853?

We will first find the prime factorization of 21838 and 21853. After we will calculate the factors of 21838 and 21853 and find the biggest common factor number .

Step-1: Prime Factorization of 21838

Prime factors of 21838 are 2, 61, 179. Prime factorization of 21838 in exponential form is:

21838 = 2¹ × 61¹ × 179¹

Step-2: Prime Factorization of 21853

Prime factors of 21853 are 13, 41. Prime factorization of 21853 in exponential form is:

21853 = 13¹ × 41²

Step-3: Factors of 21838

List of positive integer factors of 21838 that divides 21838 without a remainder.

1, 2, 61, 122, 179, 358, 10919

Step-4: Factors of 21853

List of positive integer factors of 21853 that divides 21838 without a remainder.

1, 13, 41, 533, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21838 and 21853. The biggest common factor number is the GCF number.
So the greatest common factor 21838 and 21853 is 1.

Also check out the Least Common Multiple of 21838 and 21853