What is the Greatest Common Factor of 90820 and 90839?

Greatest common factor (GCF) of 90820 and 90839 is 19.

GCF(90820,90839) = 19

We will now calculate the prime factors of 90820 and 90839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90820 and 90839.

How to find the GCF of 90820 and 90839?

We will first find the prime factorization of 90820 and 90839. After we will calculate the factors of 90820 and 90839 and find the biggest common factor number .

Step-1: Prime Factorization of 90820

Prime factors of 90820 are 2, 5, 19, 239. Prime factorization of 90820 in exponential form is:

90820 = 2² × 5¹ × 19¹ × 239¹

Step-2: Prime Factorization of 90839

Prime factors of 90839 are 7, 19, 683. Prime factorization of 90839 in exponential form is:

90839 = 7¹ × 19¹ × 683¹

Step-3: Factors of 90820

List of positive integer factors of 90820 that divides 90820 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 239, 380, 478, 956, 1195, 2390, 4541, 4780, 9082, 18164, 22705, 45410

Step-4: Factors of 90839

List of positive integer factors of 90839 that divides 90820 without a remainder.

1, 7, 19, 133, 683, 4781, 12977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90820 and 90839. The biggest common factor number is the GCF number.
So the greatest common factor 90820 and 90839 is 19.

Also check out the Least Common Multiple of 90820 and 90839