What is the Greatest Common Factor of 21031 and 21048?

Greatest common factor (GCF) of 21031 and 21048 is 1.

GCF(21031,21048) = 1

We will now calculate the prime factors of 21031 and 21048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21031 and 21048.

How to find the GCF of 21031 and 21048?

We will first find the prime factorization of 21031 and 21048. After we will calculate the factors of 21031 and 21048 and find the biggest common factor number .

Step-1: Prime Factorization of 21031

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

21031 = 21031¹

Step-2: Prime Factorization of 21048

Prime factors of 21048 are 2, 3, 877. Prime factorization of 21048 in exponential form is:

21048 = 2³ × 3¹ × 877¹

Step-3: Factors of 21031

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

Step-4: Factors of 21048

List of positive integer factors of 21048 that divides 21031 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 877, 1754, 2631, 3508, 5262, 7016, 10524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21031 and 21048. The biggest common factor number is the GCF number.
So the greatest common factor 21031 and 21048 is 1.

Also check out the Least Common Multiple of 21031 and 21048