What is the Greatest Common Factor of 20825 and 20840?

Greatest common factor (GCF) of 20825 and 20840 is 5.

GCF(20825,20840) = 5

We will now calculate the prime factors of 20825 and 20840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20825 and 20840.

How to find the GCF of 20825 and 20840?

We will first find the prime factorization of 20825 and 20840. After we will calculate the factors of 20825 and 20840 and find the biggest common factor number .

Step-1: Prime Factorization of 20825

Prime factors of 20825 are 5, 7, 17. Prime factorization of 20825 in exponential form is:

20825 = 5² × 7² × 17¹

Step-2: Prime Factorization of 20840

Prime factors of 20840 are 2, 5, 521. Prime factorization of 20840 in exponential form is:

20840 = 2³ × 5¹ × 521¹

Step-3: Factors of 20825

List of positive integer factors of 20825 that divides 20825 without a remainder.

1, 5, 7, 17, 25, 35, 49, 85, 119, 175, 245, 425, 595, 833, 1225, 2975, 4165

Step-4: Factors of 20840

List of positive integer factors of 20840 that divides 20825 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 521, 1042, 2084, 2605, 4168, 5210, 10420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20825 and 20840. The biggest common factor number is the GCF number.
So the greatest common factor 20825 and 20840 is 5.

Also check out the Least Common Multiple of 20825 and 20840