What is the Greatest Common Factor of 90142 and 90148?

Greatest common factor (GCF) of 90142 and 90148 is 2.

GCF(90142,90148) = 2

We will now calculate the prime factors of 90142 and 90148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90142 and 90148.

How to find the GCF of 90142 and 90148?

We will first find the prime factorization of 90142 and 90148. After we will calculate the factors of 90142 and 90148 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90148

Prime factors of 90148 are 2, 31, 727. Prime factorization of 90148 in exponential form is:

90148 = 2² × 31¹ × 727¹

Step-3: Factors of 90142

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

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

Step-4: Factors of 90148

List of positive integer factors of 90148 that divides 90142 without a remainder.

1, 2, 4, 31, 62, 124, 727, 1454, 2908, 22537, 45074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90142 and 90148. The biggest common factor number is the GCF number.
So the greatest common factor 90142 and 90148 is 2.

Also check out the Least Common Multiple of 90142 and 90148