What is the Greatest Common Factor of 21150 and 21170?

Greatest common factor (GCF) of 21150 and 21170 is 10.

GCF(21150,21170) = 10

We will now calculate the prime factors of 21150 and 21170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21150 and 21170.

How to find the GCF of 21150 and 21170?

We will first find the prime factorization of 21150 and 21170. After we will calculate the factors of 21150 and 21170 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 21170

Prime factors of 21170 are 2, 5, 29, 73. Prime factorization of 21170 in exponential form is:

21170 = 2¹ × 5¹ × 29¹ × 73¹

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 21170

List of positive integer factors of 21170 that divides 21150 without a remainder.

1, 2, 5, 10, 29, 58, 73, 145, 146, 290, 365, 730, 2117, 4234, 10585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21150 and 21170. The biggest common factor number is the GCF number.
So the greatest common factor 21150 and 21170 is 10.

Also check out the Least Common Multiple of 21150 and 21170