What is the Greatest Common Factor of 90148 and 90157?

Greatest common factor (GCF) of 90148 and 90157 is 1.

GCF(90148,90157) = 1

We will now calculate the prime factors of 90148 and 90157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90148 and 90157.

How to find the GCF of 90148 and 90157?

We will first find the prime factorization of 90148 and 90157. After we will calculate the factors of 90148 and 90157 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90157

Prime factors of 90157 are 89, 1013. Prime factorization of 90157 in exponential form is:

90157 = 89¹ × 1013¹

Step-3: Factors of 90148

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

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

Step-4: Factors of 90157

List of positive integer factors of 90157 that divides 90148 without a remainder.

1, 89, 1013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90148 and 90157. The biggest common factor number is the GCF number.
So the greatest common factor 90148 and 90157 is 1.

Also check out the Least Common Multiple of 90148 and 90157