What is the Greatest Common Factor of 21413 and 21428?

Greatest common factor (GCF) of 21413 and 21428 is 1.

GCF(21413,21428) = 1

We will now calculate the prime factors of 21413 and 21428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21413 and 21428.

How to find the GCF of 21413 and 21428?

We will first find the prime factorization of 21413 and 21428. After we will calculate the factors of 21413 and 21428 and find the biggest common factor number .

Step-1: Prime Factorization of 21413

Prime factors of 21413 are 7, 19, 23. Prime factorization of 21413 in exponential form is:

21413 = 7² × 19¹ × 23¹

Step-2: Prime Factorization of 21428

Prime factors of 21428 are 2, 11, 487. Prime factorization of 21428 in exponential form is:

21428 = 2² × 11¹ × 487¹

Step-3: Factors of 21413

List of positive integer factors of 21413 that divides 21413 without a remainder.

1, 7, 19, 23, 49, 133, 161, 437, 931, 1127, 3059

Step-4: Factors of 21428

List of positive integer factors of 21428 that divides 21413 without a remainder.

1, 2, 4, 11, 22, 44, 487, 974, 1948, 5357, 10714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21413 and 21428. The biggest common factor number is the GCF number.
So the greatest common factor 21413 and 21428 is 1.

Also check out the Least Common Multiple of 21413 and 21428