What is the Greatest Common Factor of 90194 and 90207?

Greatest common factor (GCF) of 90194 and 90207 is 13.

GCF(90194,90207) = 13

We will now calculate the prime factors of 90194 and 90207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90194 and 90207.

How to find the GCF of 90194 and 90207?

We will first find the prime factorization of 90194 and 90207. After we will calculate the factors of 90194 and 90207 and find the biggest common factor number .

Step-1: Prime Factorization of 90194

Prime factors of 90194 are 2, 13, 3469. Prime factorization of 90194 in exponential form is:

90194 = 2¹ × 13¹ × 3469¹

Step-2: Prime Factorization of 90207

Prime factors of 90207 are 3, 13, 257. Prime factorization of 90207 in exponential form is:

90207 = 3³ × 13¹ × 257¹

Step-3: Factors of 90194

List of positive integer factors of 90194 that divides 90194 without a remainder.

1, 2, 13, 26, 3469, 6938, 45097

Step-4: Factors of 90207

List of positive integer factors of 90207 that divides 90194 without a remainder.

1, 3, 9, 13, 27, 39, 117, 257, 351, 771, 2313, 3341, 6939, 10023, 30069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90194 and 90207. The biggest common factor number is the GCF number.
So the greatest common factor 90194 and 90207 is 13.

Also check out the Least Common Multiple of 90194 and 90207