What is the Greatest Common Factor of 90698 and 90706?

Greatest common factor (GCF) of 90698 and 90706 is 2.

GCF(90698,90706) = 2

We will now calculate the prime factors of 90698 and 90706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90698 and 90706.

How to find the GCF of 90698 and 90706?

We will first find the prime factorization of 90698 and 90706. After we will calculate the factors of 90698 and 90706 and find the biggest common factor number .

Step-1: Prime Factorization of 90698

Prime factors of 90698 are 2, 101, 449. Prime factorization of 90698 in exponential form is:

90698 = 2¹ × 101¹ × 449¹

Step-2: 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-3: Factors of 90698

List of positive integer factors of 90698 that divides 90698 without a remainder.

1, 2, 101, 202, 449, 898, 45349

Step-4: Factors of 90706

List of positive integer factors of 90706 that divides 90698 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90698 and 90706. The biggest common factor number is the GCF number.
So the greatest common factor 90698 and 90706 is 2.

Also check out the Least Common Multiple of 90698 and 90706