What is the Greatest Common Factor of 90832 and 90842?

Greatest common factor (GCF) of 90832 and 90842 is 2.

GCF(90832,90842) = 2

We will now calculate the prime factors of 90832 and 90842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90832 and 90842.

How to find the GCF of 90832 and 90842?

We will first find the prime factorization of 90832 and 90842. After we will calculate the factors of 90832 and 90842 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 90842

Prime factors of 90842 are 2, 53, 857. Prime factorization of 90842 in exponential form is:

90842 = 2¹ × 53¹ × 857¹

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 90842

List of positive integer factors of 90842 that divides 90832 without a remainder.

1, 2, 53, 106, 857, 1714, 45421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90832 and 90842. The biggest common factor number is the GCF number.
So the greatest common factor 90832 and 90842 is 2.

Also check out the Least Common Multiple of 90832 and 90842