What is the Greatest Common Factor of 90128 and 90132?

Greatest common factor (GCF) of 90128 and 90132 is 4.

GCF(90128,90132) = 4

We will now calculate the prime factors of 90128 and 90132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90128 and 90132.

How to find the GCF of 90128 and 90132?

We will first find the prime factorization of 90128 and 90132. After we will calculate the factors of 90128 and 90132 and find the biggest common factor number .

Step-1: Prime Factorization of 90128

Prime factors of 90128 are 2, 43, 131. Prime factorization of 90128 in exponential form is:

90128 = 2⁴ × 43¹ × 131¹

Step-2: Prime Factorization of 90132

Prime factors of 90132 are 2, 3, 7, 29, 37. Prime factorization of 90132 in exponential form is:

90132 = 2² × 3¹ × 7¹ × 29¹ × 37¹

Step-3: Factors of 90128

List of positive integer factors of 90128 that divides 90128 without a remainder.

1, 2, 4, 8, 16, 43, 86, 131, 172, 262, 344, 524, 688, 1048, 2096, 5633, 11266, 22532, 45064

Step-4: Factors of 90132

List of positive integer factors of 90132 that divides 90128 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 37, 42, 58, 74, 84, 87, 111, 116, 148, 174, 203, 222, 259, 348, 406, 444, 518, 609, 777, 812, 1036, 1073, 1218, 1554, 2146, 2436, 3108, 3219, 4292, 6438, 7511, 12876, 15022, 22533, 30044, 45066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90128 and 90132. The biggest common factor number is the GCF number.
So the greatest common factor 90128 and 90132 is 4.

Also check out the Least Common Multiple of 90128 and 90132