What is the Greatest Common Factor of 21038 and 21053?

Greatest common factor (GCF) of 21038 and 21053 is 1.

GCF(21038,21053) = 1

We will now calculate the prime factors of 21038 and 21053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21038 and 21053.

How to find the GCF of 21038 and 21053?

We will first find the prime factorization of 21038 and 21053. After we will calculate the factors of 21038 and 21053 and find the biggest common factor number .

Step-1: Prime Factorization of 21038

Prime factors of 21038 are 2, 67, 157. Prime factorization of 21038 in exponential form is:

21038 = 2¹ × 67¹ × 157¹

Step-2: Prime Factorization of 21053

Prime factors of 21053 are 37, 569. Prime factorization of 21053 in exponential form is:

21053 = 37¹ × 569¹

Step-3: Factors of 21038

List of positive integer factors of 21038 that divides 21038 without a remainder.

1, 2, 67, 134, 157, 314, 10519

Step-4: Factors of 21053

List of positive integer factors of 21053 that divides 21038 without a remainder.

1, 37, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21038 and 21053. The biggest common factor number is the GCF number.
So the greatest common factor 21038 and 21053 is 1.

Also check out the Least Common Multiple of 21038 and 21053