What is the Greatest Common Factor of 90312 and 90322?

Greatest common factor (GCF) of 90312 and 90322 is 2.

GCF(90312,90322) = 2

We will now calculate the prime factors of 90312 and 90322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90312 and 90322.

How to find the GCF of 90312 and 90322?

We will first find the prime factorization of 90312 and 90322. After we will calculate the factors of 90312 and 90322 and find the biggest common factor number .

Step-1: Prime Factorization of 90312

Prime factors of 90312 are 2, 3, 53, 71. Prime factorization of 90312 in exponential form is:

90312 = 2³ × 3¹ × 53¹ × 71¹

Step-2: Prime Factorization of 90322

Prime factors of 90322 are 2, 45161. Prime factorization of 90322 in exponential form is:

90322 = 2¹ × 45161¹

Step-3: Factors of 90312

List of positive integer factors of 90312 that divides 90312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 71, 106, 142, 159, 212, 213, 284, 318, 424, 426, 568, 636, 852, 1272, 1704, 3763, 7526, 11289, 15052, 22578, 30104, 45156

Step-4: Factors of 90322

List of positive integer factors of 90322 that divides 90312 without a remainder.

1, 2, 45161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90312 and 90322. The biggest common factor number is the GCF number.
So the greatest common factor 90312 and 90322 is 2.

Also check out the Least Common Multiple of 90312 and 90322