What is the Greatest Common Factor of 21450 and 21463?

Greatest common factor (GCF) of 21450 and 21463 is 13.

GCF(21450,21463) = 13

We will now calculate the prime factors of 21450 and 21463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21450 and 21463.

How to find the GCF of 21450 and 21463?

We will first find the prime factorization of 21450 and 21463. After we will calculate the factors of 21450 and 21463 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 21463

Prime factors of 21463 are 13, 127. Prime factorization of 21463 in exponential form is:

21463 = 13² × 127¹

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 21463

List of positive integer factors of 21463 that divides 21450 without a remainder.

1, 13, 127, 169, 1651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21450 and 21463. The biggest common factor number is the GCF number.
So the greatest common factor 21450 and 21463 is 13.

Also check out the Least Common Multiple of 21450 and 21463