What is the Greatest Common Factor of 90128 and 90142?

Greatest common factor (GCF) of 90128 and 90142 is 2.

GCF(90128,90142) = 2

We will now calculate the prime factors of 90128 and 90142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90128 and 90142.

How to find the GCF of 90128 and 90142?

We will first find the prime factorization of 90128 and 90142. After we will calculate the factors of 90128 and 90142 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 90142

Prime factors of 90142 are 2, 13, 3467. Prime factorization of 90142 in exponential form is:

90142 = 2¹ × 13¹ × 3467¹

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 90142

List of positive integer factors of 90142 that divides 90128 without a remainder.

1, 2, 13, 26, 3467, 6934, 45071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90128 and 90142. The biggest common factor number is the GCF number.
So the greatest common factor 90128 and 90142 is 2.

Also check out the Least Common Multiple of 90128 and 90142