What is the Greatest Common Factor of 20838 and 20850?

Greatest common factor (GCF) of 20838 and 20850 is 6.

GCF(20838,20850) = 6

We will now calculate the prime factors of 20838 and 20850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20838 and 20850.

How to find the GCF of 20838 and 20850?

We will first find the prime factorization of 20838 and 20850. After we will calculate the factors of 20838 and 20850 and find the biggest common factor number .

Step-1: Prime Factorization of 20838

Prime factors of 20838 are 2, 3, 23, 151. Prime factorization of 20838 in exponential form is:

20838 = 2¹ × 3¹ × 23¹ × 151¹

Step-2: Prime Factorization of 20850

Prime factors of 20850 are 2, 3, 5, 139. Prime factorization of 20850 in exponential form is:

20850 = 2¹ × 3¹ × 5² × 139¹

Step-3: Factors of 20838

List of positive integer factors of 20838 that divides 20838 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 151, 302, 453, 906, 3473, 6946, 10419

Step-4: Factors of 20850

List of positive integer factors of 20850 that divides 20838 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 139, 150, 278, 417, 695, 834, 1390, 2085, 3475, 4170, 6950, 10425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20838 and 20850. The biggest common factor number is the GCF number.
So the greatest common factor 20838 and 20850 is 6.

Also check out the Least Common Multiple of 20838 and 20850