What is the Greatest Common Factor of 90312 and 90332?

Greatest common factor (GCF) of 90312 and 90332 is 4.

GCF(90312,90332) = 4

We will now calculate the prime factors of 90312 and 90332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90312 and 90332.

How to find the GCF of 90312 and 90332?

We will first find the prime factorization of 90312 and 90332. After we will calculate the factors of 90312 and 90332 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 90332

Prime factors of 90332 are 2, 11, 2053. Prime factorization of 90332 in exponential form is:

90332 = 2² × 11¹ × 2053¹

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 90332

List of positive integer factors of 90332 that divides 90312 without a remainder.

1, 2, 4, 11, 22, 44, 2053, 4106, 8212, 22583, 45166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90312 and 90332. The biggest common factor number is the GCF number.
So the greatest common factor 90312 and 90332 is 4.

Also check out the Least Common Multiple of 90312 and 90332