What is the Greatest Common Factor of 90153 and 90167?

Greatest common factor (GCF) of 90153 and 90167 is 7.

GCF(90153,90167) = 7

We will now calculate the prime factors of 90153 and 90167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90153 and 90167.

How to find the GCF of 90153 and 90167?

We will first find the prime factorization of 90153 and 90167. After we will calculate the factors of 90153 and 90167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90167

Prime factors of 90167 are 7, 11, 1171. Prime factorization of 90167 in exponential form is:

90167 = 7¹ × 11¹ × 1171¹

Step-3: Factors of 90153

List of positive integer factors of 90153 that divides 90153 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

Step-4: Factors of 90167

List of positive integer factors of 90167 that divides 90153 without a remainder.

1, 7, 11, 77, 1171, 8197, 12881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90153 and 90167. The biggest common factor number is the GCF number.
So the greatest common factor 90153 and 90167 is 7.

Also check out the Least Common Multiple of 90153 and 90167