What is the Greatest Common Factor of 90148 and 90153?

Greatest common factor (GCF) of 90148 and 90153 is 1.

GCF(90148,90153) = 1

We will now calculate the prime factors of 90148 and 90153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90148 and 90153.

How to find the GCF of 90148 and 90153?

We will first find the prime factorization of 90148 and 90153. After we will calculate the factors of 90148 and 90153 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 90153

Prime factors of 90153 are 3, 7, 53. Prime factorization of 90153 in exponential form is:

90153 = 3⁵ × 7¹ × 53¹

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 90153

List of positive integer factors of 90153 that divides 90148 without a remainder.

1, 3, 7, 9, 21, 27, 53, 63, 81, 159, 189, 243, 371, 477, 567, 1113, 1431, 1701, 3339, 4293, 10017, 12879, 30051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90148 and 90153. The biggest common factor number is the GCF number.
So the greatest common factor 90148 and 90153 is 1.

Also check out the Least Common Multiple of 90148 and 90153