What is the Greatest Common Factor of 90661 and 90678?

Greatest common factor (GCF) of 90661 and 90678 is 17.

GCF(90661,90678) = 17

We will now calculate the prime factors of 90661 and 90678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90661 and 90678.

How to find the GCF of 90661 and 90678?

We will first find the prime factorization of 90661 and 90678. After we will calculate the factors of 90661 and 90678 and find the biggest common factor number .

Step-1: Prime Factorization of 90661

Prime factors of 90661 are 17, 5333. Prime factorization of 90661 in exponential form is:

90661 = 17¹ × 5333¹

Step-2: Prime Factorization of 90678

Prime factors of 90678 are 2, 3, 7, 17, 127. Prime factorization of 90678 in exponential form is:

90678 = 2¹ × 3¹ × 7¹ × 17¹ × 127¹

Step-3: Factors of 90661

List of positive integer factors of 90661 that divides 90661 without a remainder.

1, 17, 5333

Step-4: Factors of 90678

List of positive integer factors of 90678 that divides 90661 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 127, 238, 254, 357, 381, 714, 762, 889, 1778, 2159, 2667, 4318, 5334, 6477, 12954, 15113, 30226, 45339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90661 and 90678. The biggest common factor number is the GCF number.
So the greatest common factor 90661 and 90678 is 17.

Also check out the Least Common Multiple of 90661 and 90678