What is the Greatest Common Factor of 21780 and 21797?

Greatest common factor (GCF) of 21780 and 21797 is 1.

GCF(21780,21797) = 1

We will now calculate the prime factors of 21780 and 21797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21780 and 21797.

How to find the GCF of 21780 and 21797?

We will first find the prime factorization of 21780 and 21797. After we will calculate the factors of 21780 and 21797 and find the biggest common factor number .

Step-1: Prime Factorization of 21780

Prime factors of 21780 are 2, 3, 5, 11. Prime factorization of 21780 in exponential form is:

21780 = 2² × 3² × 5¹ × 11²

Step-2: Prime Factorization of 21797

Prime factors of 21797 are 71, 307. Prime factorization of 21797 in exponential form is:

21797 = 71¹ × 307¹

Step-3: Factors of 21780

List of positive integer factors of 21780 that divides 21780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 121, 132, 165, 180, 198, 220, 242, 330, 363, 396, 484, 495, 605, 660, 726, 990, 1089, 1210, 1452, 1815, 1980, 2178, 2420, 3630, 4356, 5445, 7260, 10890

Step-4: Factors of 21797

List of positive integer factors of 21797 that divides 21780 without a remainder.

1, 71, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21780 and 21797. The biggest common factor number is the GCF number.
So the greatest common factor 21780 and 21797 is 1.

Also check out the Least Common Multiple of 21780 and 21797