What is the Greatest Common Factor of 21392 and 21410?

Greatest common factor (GCF) of 21392 and 21410 is 2.

GCF(21392,21410) = 2

We will now calculate the prime factors of 21392 and 21410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21392 and 21410.

How to find the GCF of 21392 and 21410?

We will first find the prime factorization of 21392 and 21410. After we will calculate the factors of 21392 and 21410 and find the biggest common factor number .

Step-1: Prime Factorization of 21392

Prime factors of 21392 are 2, 7, 191. Prime factorization of 21392 in exponential form is:

21392 = 2⁴ × 7¹ × 191¹

Step-2: Prime Factorization of 21410

Prime factors of 21410 are 2, 5, 2141. Prime factorization of 21410 in exponential form is:

21410 = 2¹ × 5¹ × 2141¹

Step-3: Factors of 21392

List of positive integer factors of 21392 that divides 21392 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 191, 382, 764, 1337, 1528, 2674, 3056, 5348, 10696

Step-4: Factors of 21410

List of positive integer factors of 21410 that divides 21392 without a remainder.

1, 2, 5, 10, 2141, 4282, 10705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21392 and 21410. The biggest common factor number is the GCF number.
So the greatest common factor 21392 and 21410 is 2.

Also check out the Least Common Multiple of 21392 and 21410