What is the Greatest Common Factor of 90649 and 90662?

Greatest common factor (GCF) of 90649 and 90662 is 13.

GCF(90649,90662) = 13

We will now calculate the prime factors of 90649 and 90662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90649 and 90662.

How to find the GCF of 90649 and 90662?

We will first find the prime factorization of 90649 and 90662. After we will calculate the factors of 90649 and 90662 and find the biggest common factor number .

Step-1: Prime Factorization of 90649

Prime factors of 90649 are 13, 19, 367. Prime factorization of 90649 in exponential form is:

90649 = 13¹ × 19¹ × 367¹

Step-2: Prime Factorization of 90662

Prime factors of 90662 are 2, 11, 13, 317. Prime factorization of 90662 in exponential form is:

90662 = 2¹ × 11¹ × 13¹ × 317¹

Step-3: Factors of 90649

List of positive integer factors of 90649 that divides 90649 without a remainder.

1, 13, 19, 247, 367, 4771, 6973

Step-4: Factors of 90662

List of positive integer factors of 90662 that divides 90649 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 317, 634, 3487, 4121, 6974, 8242, 45331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90649 and 90662. The biggest common factor number is the GCF number.
So the greatest common factor 90649 and 90662 is 13.

Also check out the Least Common Multiple of 90649 and 90662