What is the Greatest Common Factor of 90294 and 90312?

Greatest common factor (GCF) of 90294 and 90312 is 6.

GCF(90294,90312) = 6

We will now calculate the prime factors of 90294 and 90312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90294 and 90312.

How to find the GCF of 90294 and 90312?

We will first find the prime factorization of 90294 and 90312. After we will calculate the factors of 90294 and 90312 and find the biggest common factor number .

Step-1: Prime Factorization of 90294

Prime factors of 90294 are 2, 3, 101, 149. Prime factorization of 90294 in exponential form is:

90294 = 2¹ × 3¹ × 101¹ × 149¹

Step-2: 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-3: Factors of 90294

List of positive integer factors of 90294 that divides 90294 without a remainder.

1, 2, 3, 6, 101, 149, 202, 298, 303, 447, 606, 894, 15049, 30098, 45147

Step-4: Factors of 90312

List of positive integer factors of 90312 that divides 90294 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90294 and 90312. The biggest common factor number is the GCF number.
So the greatest common factor 90294 and 90312 is 6.

Also check out the Least Common Multiple of 90294 and 90312