What is the Greatest Common Factor of 90131 and 90142?

Greatest common factor (GCF) of 90131 and 90142 is 1.

GCF(90131,90142) = 1

We will now calculate the prime factors of 90131 and 90142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90131 and 90142.

How to find the GCF of 90131 and 90142?

We will first find the prime factorization of 90131 and 90142. After we will calculate the factors of 90131 and 90142 and find the biggest common factor number .

Step-1: Prime Factorization of 90131

Prime factors of 90131 are 193, 467. Prime factorization of 90131 in exponential form is:

90131 = 193¹ × 467¹

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 90131

List of positive integer factors of 90131 that divides 90131 without a remainder.

1, 193, 467

Step-4: Factors of 90142

List of positive integer factors of 90142 that divides 90131 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90131 and 90142. The biggest common factor number is the GCF number.
So the greatest common factor 90131 and 90142 is 1.

Also check out the Least Common Multiple of 90131 and 90142