What is the Greatest Common Factor of 90832 and 90836?

Greatest common factor (GCF) of 90832 and 90836 is 4.

GCF(90832,90836) = 4

We will now calculate the prime factors of 90832 and 90836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90832 and 90836.

How to find the GCF of 90832 and 90836?

We will first find the prime factorization of 90832 and 90836. After we will calculate the factors of 90832 and 90836 and find the biggest common factor number .

Step-1: Prime Factorization of 90832

Prime factors of 90832 are 2, 7, 811. Prime factorization of 90832 in exponential form is:

90832 = 2⁴ × 7¹ × 811¹

Step-2: Prime Factorization of 90836

Prime factors of 90836 are 2, 22709. Prime factorization of 90836 in exponential form is:

90836 = 2² × 22709¹

Step-3: Factors of 90832

List of positive integer factors of 90832 that divides 90832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 811, 1622, 3244, 5677, 6488, 11354, 12976, 22708, 45416

Step-4: Factors of 90836

List of positive integer factors of 90836 that divides 90832 without a remainder.

1, 2, 4, 22709, 45418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90832 and 90836. The biggest common factor number is the GCF number.
So the greatest common factor 90832 and 90836 is 4.

Also check out the Least Common Multiple of 90832 and 90836