What is the Greatest Common Factor of 90264 and 90280?

Greatest common factor (GCF) of 90264 and 90280 is 8.

GCF(90264,90280) = 8

We will now calculate the prime factors of 90264 and 90280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90264 and 90280.

How to find the GCF of 90264 and 90280?

We will first find the prime factorization of 90264 and 90280. After we will calculate the factors of 90264 and 90280 and find the biggest common factor number .

Step-1: Prime Factorization of 90264

Prime factors of 90264 are 2, 3, 3761. Prime factorization of 90264 in exponential form is:

90264 = 2³ × 3¹ × 3761¹

Step-2: Prime Factorization of 90280

Prime factors of 90280 are 2, 5, 37, 61. Prime factorization of 90280 in exponential form is:

90280 = 2³ × 5¹ × 37¹ × 61¹

Step-3: Factors of 90264

List of positive integer factors of 90264 that divides 90264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3761, 7522, 11283, 15044, 22566, 30088, 45132

Step-4: Factors of 90280

List of positive integer factors of 90280 that divides 90264 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 61, 74, 122, 148, 185, 244, 296, 305, 370, 488, 610, 740, 1220, 1480, 2257, 2440, 4514, 9028, 11285, 18056, 22570, 45140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90264 and 90280. The biggest common factor number is the GCF number.
So the greatest common factor 90264 and 90280 is 8.

Also check out the Least Common Multiple of 90264 and 90280