What is the Greatest Common Factor of 21030 and 21050?

Greatest common factor (GCF) of 21030 and 21050 is 10.

GCF(21030,21050) = 10

We will now calculate the prime factors of 21030 and 21050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21030 and 21050.

How to find the GCF of 21030 and 21050?

We will first find the prime factorization of 21030 and 21050. After we will calculate the factors of 21030 and 21050 and find the biggest common factor number .

Step-1: Prime Factorization of 21030

Prime factors of 21030 are 2, 3, 5, 701. Prime factorization of 21030 in exponential form is:

21030 = 2¹ × 3¹ × 5¹ × 701¹

Step-2: Prime Factorization of 21050

Prime factors of 21050 are 2, 5, 421. Prime factorization of 21050 in exponential form is:

21050 = 2¹ × 5² × 421¹

Step-3: Factors of 21030

List of positive integer factors of 21030 that divides 21030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 701, 1402, 2103, 3505, 4206, 7010, 10515

Step-4: Factors of 21050

List of positive integer factors of 21050 that divides 21030 without a remainder.

1, 2, 5, 10, 25, 50, 421, 842, 2105, 4210, 10525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21030 and 21050. The biggest common factor number is the GCF number.
So the greatest common factor 21030 and 21050 is 10.

Also check out the Least Common Multiple of 21030 and 21050