What is the Greatest Common Factor of 21140 and 21150?

Greatest common factor (GCF) of 21140 and 21150 is 10.

GCF(21140,21150) = 10

We will now calculate the prime factors of 21140 and 21150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21140 and 21150.

How to find the GCF of 21140 and 21150?

We will first find the prime factorization of 21140 and 21150. After we will calculate the factors of 21140 and 21150 and find the biggest common factor number .

Step-1: Prime Factorization of 21140

Prime factors of 21140 are 2, 5, 7, 151. Prime factorization of 21140 in exponential form is:

21140 = 2² × 5¹ × 7¹ × 151¹

Step-2: 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-3: Factors of 21140

List of positive integer factors of 21140 that divides 21140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 151, 302, 604, 755, 1057, 1510, 2114, 3020, 4228, 5285, 10570

Step-4: Factors of 21150

List of positive integer factors of 21150 that divides 21140 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21140 and 21150. The biggest common factor number is the GCF number.
So the greatest common factor 21140 and 21150 is 10.

Also check out the Least Common Multiple of 21140 and 21150