What is the Greatest Common Factor of 21350 and 21368?

Greatest common factor (GCF) of 21350 and 21368 is 2.

GCF(21350,21368) = 2

We will now calculate the prime factors of 21350 and 21368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21350 and 21368.

How to find the GCF of 21350 and 21368?

We will first find the prime factorization of 21350 and 21368. After we will calculate the factors of 21350 and 21368 and find the biggest common factor number .

Step-1: Prime Factorization of 21350

Prime factors of 21350 are 2, 5, 7, 61. Prime factorization of 21350 in exponential form is:

21350 = 2¹ × 5² × 7¹ × 61¹

Step-2: Prime Factorization of 21368

Prime factors of 21368 are 2, 2671. Prime factorization of 21368 in exponential form is:

21368 = 2³ × 2671¹

Step-3: Factors of 21350

List of positive integer factors of 21350 that divides 21350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 61, 70, 122, 175, 305, 350, 427, 610, 854, 1525, 2135, 3050, 4270, 10675

Step-4: Factors of 21368

List of positive integer factors of 21368 that divides 21350 without a remainder.

1, 2, 4, 8, 2671, 5342, 10684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21350 and 21368. The biggest common factor number is the GCF number.
So the greatest common factor 21350 and 21368 is 2.

Also check out the Least Common Multiple of 21350 and 21368