What is the Greatest Common Factor of 21070 and 21085?

Greatest common factor (GCF) of 21070 and 21085 is 5.

GCF(21070,21085) = 5

We will now calculate the prime factors of 21070 and 21085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21070 and 21085.

How to find the GCF of 21070 and 21085?

We will first find the prime factorization of 21070 and 21085. After we will calculate the factors of 21070 and 21085 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21085

Prime factors of 21085 are 5, 4217. Prime factorization of 21085 in exponential form is:

21085 = 5¹ × 4217¹

Step-3: Factors of 21070

List of positive integer factors of 21070 that divides 21070 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

Step-4: Factors of 21085

List of positive integer factors of 21085 that divides 21070 without a remainder.

1, 5, 4217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21070 and 21085. The biggest common factor number is the GCF number.
So the greatest common factor 21070 and 21085 is 5.

Also check out the Least Common Multiple of 21070 and 21085