What is the Greatest Common Factor of 90692 and 90698?

Greatest common factor (GCF) of 90692 and 90698 is 2.

GCF(90692,90698) = 2

We will now calculate the prime factors of 90692 and 90698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90692 and 90698.

How to find the GCF of 90692 and 90698?

We will first find the prime factorization of 90692 and 90698. After we will calculate the factors of 90692 and 90698 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 90698

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

90698 = 2¹ × 101¹ × 449¹

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 90698

List of positive integer factors of 90698 that divides 90692 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90692 and 90698. The biggest common factor number is the GCF number.
So the greatest common factor 90692 and 90698 is 2.

Also check out the Least Common Multiple of 90692 and 90698