What is the Greatest Common Factor of 10678 and 10692?

Greatest common factor (GCF) of 10678 and 10692 is 2.

GCF(10678,10692) = 2

We will now calculate the prime factors of 10678 and 10692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10678 and 10692.

How to find the GCF of 10678 and 10692?

We will first find the prime factorization of 10678 and 10692. After we will calculate the factors of 10678 and 10692 and find the biggest common factor number .

Step-1: Prime Factorization of 10678

Prime factors of 10678 are 2, 19, 281. Prime factorization of 10678 in exponential form is:

10678 = 2¹ × 19¹ × 281¹

Step-2: Prime Factorization of 10692

Prime factors of 10692 are 2, 3, 11. Prime factorization of 10692 in exponential form is:

10692 = 2² × 3⁵ × 11¹

Step-3: Factors of 10678

List of positive integer factors of 10678 that divides 10678 without a remainder.

1, 2, 19, 38, 281, 562, 5339

Step-4: Factors of 10692

List of positive integer factors of 10692 that divides 10678 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 243, 297, 324, 396, 486, 594, 891, 972, 1188, 1782, 2673, 3564, 5346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10678 and 10692. The biggest common factor number is the GCF number.
So the greatest common factor 10678 and 10692 is 2.

Also check out the Least Common Multiple of 10678 and 10692