What is the Greatest Common Factor of 90706 and 90725?

Greatest common factor (GCF) of 90706 and 90725 is 19.

GCF(90706,90725) = 19

We will now calculate the prime factors of 90706 and 90725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90706 and 90725.

How to find the GCF of 90706 and 90725?

We will first find the prime factorization of 90706 and 90725. After we will calculate the factors of 90706 and 90725 and find the biggest common factor number .

Step-1: Prime Factorization of 90706

Prime factors of 90706 are 2, 7, 11, 19, 31. Prime factorization of 90706 in exponential form is:

90706 = 2¹ × 7¹ × 11¹ × 19¹ × 31¹

Step-2: Prime Factorization of 90725

Prime factors of 90725 are 5, 19, 191. Prime factorization of 90725 in exponential form is:

90725 = 5² × 19¹ × 191¹

Step-3: Factors of 90706

List of positive integer factors of 90706 that divides 90706 without a remainder.

1, 2, 7, 11, 14, 19, 22, 31, 38, 62, 77, 133, 154, 209, 217, 266, 341, 418, 434, 589, 682, 1178, 1463, 2387, 2926, 4123, 4774, 6479, 8246, 12958, 45353

Step-4: Factors of 90725

List of positive integer factors of 90725 that divides 90706 without a remainder.

1, 5, 19, 25, 95, 191, 475, 955, 3629, 4775, 18145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90706 and 90725. The biggest common factor number is the GCF number.
So the greatest common factor 90706 and 90725 is 19.

Also check out the Least Common Multiple of 90706 and 90725