What is the Greatest Common Factor of 21357 and 21362?

Greatest common factor (GCF) of 21357 and 21362 is 1.

GCF(21357,21362) = 1

We will now calculate the prime factors of 21357 and 21362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21357 and 21362.

How to find the GCF of 21357 and 21362?

We will first find the prime factorization of 21357 and 21362. After we will calculate the factors of 21357 and 21362 and find the biggest common factor number .

Step-1: Prime Factorization of 21357

Prime factors of 21357 are 3, 7, 113. Prime factorization of 21357 in exponential form is:

21357 = 3³ × 7¹ × 113¹

Step-2: Prime Factorization of 21362

Prime factors of 21362 are 2, 11, 971. Prime factorization of 21362 in exponential form is:

21362 = 2¹ × 11¹ × 971¹

Step-3: Factors of 21357

List of positive integer factors of 21357 that divides 21357 without a remainder.

1, 3, 7, 9, 21, 27, 63, 113, 189, 339, 791, 1017, 2373, 3051, 7119

Step-4: Factors of 21362

List of positive integer factors of 21362 that divides 21357 without a remainder.

1, 2, 11, 22, 971, 1942, 10681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21357 and 21362. The biggest common factor number is the GCF number.
So the greatest common factor 21357 and 21362 is 1.

Also check out the Least Common Multiple of 21357 and 21362