What is the Greatest Common Factor of 21060 and 21070?

Greatest common factor (GCF) of 21060 and 21070 is 10.

GCF(21060,21070) = 10

We will now calculate the prime factors of 21060 and 21070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21060 and 21070.

How to find the GCF of 21060 and 21070?

We will first find the prime factorization of 21060 and 21070. After we will calculate the factors of 21060 and 21070 and find the biggest common factor number .

Step-1: Prime Factorization of 21060

Prime factors of 21060 are 2, 3, 5, 13. Prime factorization of 21060 in exponential form is:

21060 = 2² × 3⁴ × 5¹ × 13¹

Step-2: Prime Factorization of 21070

Prime factors of 21070 are 2, 5, 7, 43. Prime factorization of 21070 in exponential form is:

21070 = 2¹ × 5¹ × 7² × 43¹

Step-3: Factors of 21060

List of positive integer factors of 21060 that divides 21060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 81, 90, 108, 117, 130, 135, 156, 162, 180, 195, 234, 260, 270, 324, 351, 390, 405, 468, 540, 585, 702, 780, 810, 1053, 1170, 1404, 1620, 1755, 2106, 2340, 3510, 4212, 5265, 7020, 10530

Step-4: Factors of 21070

List of positive integer factors of 21070 that divides 21060 without a remainder.

1, 2, 5, 7, 10, 14, 35, 43, 49, 70, 86, 98, 215, 245, 301, 430, 490, 602, 1505, 2107, 3010, 4214, 10535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21060 and 21070. The biggest common factor number is the GCF number.
So the greatest common factor 21060 and 21070 is 10.

Also check out the Least Common Multiple of 21060 and 21070