What is the Greatest Common Factor of 21052 and 21070?

Greatest common factor (GCF) of 21052 and 21070 is 2.

GCF(21052,21070) = 2

We will now calculate the prime factors of 21052 and 21070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21052 and 21070.

How to find the GCF of 21052 and 21070?

We will first find the prime factorization of 21052 and 21070. After we will calculate the factors of 21052 and 21070 and find the biggest common factor number .

Step-1: Prime Factorization of 21052

Prime factors of 21052 are 2, 19, 277. Prime factorization of 21052 in exponential form is:

21052 = 2² × 19¹ × 277¹

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 21052

List of positive integer factors of 21052 that divides 21052 without a remainder.

1, 2, 4, 19, 38, 76, 277, 554, 1108, 5263, 10526

Step-4: Factors of 21070

List of positive integer factors of 21070 that divides 21052 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 21052 and 21070. The biggest common factor number is the GCF number.
So the greatest common factor 21052 and 21070 is 2.

Also check out the Least Common Multiple of 21052 and 21070