What is the Greatest Common Factor of 90678 and 90693?

Greatest common factor (GCF) of 90678 and 90693 is 3.

GCF(90678,90693) = 3

We will now calculate the prime factors of 90678 and 90693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90678 and 90693.

How to find the GCF of 90678 and 90693?

We will first find the prime factorization of 90678 and 90693. After we will calculate the factors of 90678 and 90693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90693

Prime factors of 90693 are 3, 3359. Prime factorization of 90693 in exponential form is:

90693 = 3³ × 3359¹

Step-3: Factors of 90678

List of positive integer factors of 90678 that divides 90678 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

Step-4: Factors of 90693

List of positive integer factors of 90693 that divides 90678 without a remainder.

1, 3, 9, 27, 3359, 10077, 30231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90678 and 90693. The biggest common factor number is the GCF number.
So the greatest common factor 90678 and 90693 is 3.

Also check out the Least Common Multiple of 90678 and 90693