What is the Greatest Common Factor of 90174 and 90193?

Greatest common factor (GCF) of 90174 and 90193 is 19.

GCF(90174,90193) = 19

We will now calculate the prime factors of 90174 and 90193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90174 and 90193.

How to find the GCF of 90174 and 90193?

We will first find the prime factorization of 90174 and 90193. After we will calculate the factors of 90174 and 90193 and find the biggest common factor number .

Step-1: Prime Factorization of 90174

Prime factors of 90174 are 2, 3, 7, 19, 113. Prime factorization of 90174 in exponential form is:

90174 = 2¹ × 3¹ × 7¹ × 19¹ × 113¹

Step-2: Prime Factorization of 90193

Prime factors of 90193 are 19, 47, 101. Prime factorization of 90193 in exponential form is:

90193 = 19¹ × 47¹ × 101¹

Step-3: Factors of 90174

List of positive integer factors of 90174 that divides 90174 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 113, 114, 133, 226, 266, 339, 399, 678, 791, 798, 1582, 2147, 2373, 4294, 4746, 6441, 12882, 15029, 30058, 45087

Step-4: Factors of 90193

List of positive integer factors of 90193 that divides 90174 without a remainder.

1, 19, 47, 101, 893, 1919, 4747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90174 and 90193. The biggest common factor number is the GCF number.
So the greatest common factor 90174 and 90193 is 19.

Also check out the Least Common Multiple of 90174 and 90193