What is the Greatest Common Factor of 21022 and 21031?

Greatest common factor (GCF) of 21022 and 21031 is 1.

GCF(21022,21031) = 1

We will now calculate the prime factors of 21022 and 21031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21022 and 21031.

How to find the GCF of 21022 and 21031?

We will first find the prime factorization of 21022 and 21031. After we will calculate the factors of 21022 and 21031 and find the biggest common factor number .

Step-1: Prime Factorization of 21022

Prime factors of 21022 are 2, 23, 457. Prime factorization of 21022 in exponential form is:

21022 = 2¹ × 23¹ × 457¹

Step-2: Prime Factorization of 21031

Prime factors of 21031 are 21031. Prime factorization of 21031 in exponential form is:

21031 = 21031¹

Step-3: Factors of 21022

List of positive integer factors of 21022 that divides 21022 without a remainder.

1, 2, 23, 46, 457, 914, 10511

Step-4: Factors of 21031

List of positive integer factors of 21031 that divides 21022 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21022 and 21031. The biggest common factor number is the GCF number.
So the greatest common factor 21022 and 21031 is 1.

Also check out the Least Common Multiple of 21022 and 21031