What is the Greatest Common Factor of 90678 and 90692?

Greatest common factor (GCF) of 90678 and 90692 is 14.

GCF(90678,90692) = 14

We will now calculate the prime factors of 90678 and 90692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90678 and 90692.

How to find the GCF of 90678 and 90692?

We will first find the prime factorization of 90678 and 90692. After we will calculate the factors of 90678 and 90692 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 90692

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

90692 = 2² × 7¹ × 41¹ × 79¹

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 90692

List of positive integer factors of 90692 that divides 90678 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90678 and 90692. The biggest common factor number is the GCF number.
So the greatest common factor 90678 and 90692 is 14.

Also check out the Least Common Multiple of 90678 and 90692