What is the Greatest Common Factor of 21150 and 21169?

Greatest common factor (GCF) of 21150 and 21169 is 1.

GCF(21150,21169) = 1

We will now calculate the prime factors of 21150 and 21169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21150 and 21169.

How to find the GCF of 21150 and 21169?

We will first find the prime factorization of 21150 and 21169. After we will calculate the factors of 21150 and 21169 and find the biggest common factor number .

Step-1: Prime Factorization of 21150

Prime factors of 21150 are 2, 3, 5, 47. Prime factorization of 21150 in exponential form is:

21150 = 2¹ × 3² × 5² × 47¹

Step-2: Prime Factorization of 21169

Prime factors of 21169 are 21169. Prime factorization of 21169 in exponential form is:

21169 = 21169¹

Step-3: Factors of 21150

List of positive integer factors of 21150 that divides 21150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 47, 50, 75, 90, 94, 141, 150, 225, 235, 282, 423, 450, 470, 705, 846, 1175, 1410, 2115, 2350, 3525, 4230, 7050, 10575

Step-4: Factors of 21169

List of positive integer factors of 21169 that divides 21150 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21150 and 21169. The biggest common factor number is the GCF number.
So the greatest common factor 21150 and 21169 is 1.

Also check out the Least Common Multiple of 21150 and 21169