What is the Greatest Common Factor of 90692 and 90706?

Greatest common factor (GCF) of 90692 and 90706 is 14.

GCF(90692,90706) = 14

We will now calculate the prime factors of 90692 and 90706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90692 and 90706.

How to find the GCF of 90692 and 90706?

We will first find the prime factorization of 90692 and 90706. After we will calculate the factors of 90692 and 90706 and find the biggest common factor number .

Step-1: Prime Factorization of 90692

Prime factors of 90692 are 2, 7, 41, 79. Prime factorization of 90692 in exponential form is:

90692 = 2² × 7¹ × 41¹ × 79¹

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 90692

List of positive integer factors of 90692 that divides 90692 without a remainder.

1, 2, 4, 7, 14, 28, 41, 79, 82, 158, 164, 287, 316, 553, 574, 1106, 1148, 2212, 3239, 6478, 12956, 22673, 45346

Step-4: Factors of 90706

List of positive integer factors of 90706 that divides 90692 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 90692 and 90706. The biggest common factor number is the GCF number.
So the greatest common factor 90692 and 90706 is 14.

Also check out the Least Common Multiple of 90692 and 90706