What is the Greatest Common Factor of 20678 and 20692?

Greatest common factor (GCF) of 20678 and 20692 is 14.

GCF(20678,20692) = 14

We will now calculate the prime factors of 20678 and 20692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20678 and 20692.

How to find the GCF of 20678 and 20692?

We will first find the prime factorization of 20678 and 20692. After we will calculate the factors of 20678 and 20692 and find the biggest common factor number .

Step-1: Prime Factorization of 20678

Prime factors of 20678 are 2, 7, 211. Prime factorization of 20678 in exponential form is:

20678 = 2¹ × 7² × 211¹

Step-2: Prime Factorization of 20692

Prime factors of 20692 are 2, 7, 739. Prime factorization of 20692 in exponential form is:

20692 = 2² × 7¹ × 739¹

Step-3: Factors of 20678

List of positive integer factors of 20678 that divides 20678 without a remainder.

1, 2, 7, 14, 49, 98, 211, 422, 1477, 2954, 10339

Step-4: Factors of 20692

List of positive integer factors of 20692 that divides 20678 without a remainder.

1, 2, 4, 7, 14, 28, 739, 1478, 2956, 5173, 10346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20678 and 20692. The biggest common factor number is the GCF number.
So the greatest common factor 20678 and 20692 is 14.

Also check out the Least Common Multiple of 20678 and 20692