What is the Greatest Common Factor of 21450 and 21457?

Greatest common factor (GCF) of 21450 and 21457 is 1.

GCF(21450,21457) = 1

We will now calculate the prime factors of 21450 and 21457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21450 and 21457.

How to find the GCF of 21450 and 21457?

We will first find the prime factorization of 21450 and 21457. After we will calculate the factors of 21450 and 21457 and find the biggest common factor number .

Step-1: Prime Factorization of 21450

Prime factors of 21450 are 2, 3, 5, 11, 13. Prime factorization of 21450 in exponential form is:

21450 = 2¹ × 3¹ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 21457

Prime factors of 21457 are 43, 499. Prime factorization of 21457 in exponential form is:

21457 = 43¹ × 499¹

Step-3: Factors of 21450

List of positive integer factors of 21450 that divides 21450 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 25, 26, 30, 33, 39, 50, 55, 65, 66, 75, 78, 110, 130, 143, 150, 165, 195, 275, 286, 325, 330, 390, 429, 550, 650, 715, 825, 858, 975, 1430, 1650, 1950, 2145, 3575, 4290, 7150, 10725

Step-4: Factors of 21457

List of positive integer factors of 21457 that divides 21450 without a remainder.

1, 43, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21450 and 21457. The biggest common factor number is the GCF number.
So the greatest common factor 21450 and 21457 is 1.

Also check out the Least Common Multiple of 21450 and 21457