What is the Greatest Common Factor of 820 and 832?

Greatest common factor (GCF) of 820 and 832 is 4.

GCF(820,832) = 4

We will now calculate the prime factors of 820 and 832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 820 and 832.

How to find the GCF of 820 and 832?

We will first find the prime factorization of 820 and 832. After we will calculate the factors of 820 and 832 and find the biggest common factor number .

Step-1: Prime Factorization of 820

Prime factors of 820 are 2, 5, 41. Prime factorization of 820 in exponential form is:

820 = 2² × 5¹ × 41¹

Step-2: Prime Factorization of 832

Prime factors of 832 are 2, 13. Prime factorization of 832 in exponential form is:

832 = 2⁶ × 13¹

Step-3: Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410

Step-4: Factors of 832

List of positive integer factors of 832 that divides 820 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 820 and 832. The biggest common factor number is the GCF number.
So the greatest common factor 820 and 832 is 4.

Also check out the Least Common Multiple of 820 and 832