What is the Greatest Common Factor of 20926 and 20942?

Greatest common factor (GCF) of 20926 and 20942 is 2.

GCF(20926,20942) = 2

We will now calculate the prime factors of 20926 and 20942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20926 and 20942.

How to find the GCF of 20926 and 20942?

We will first find the prime factorization of 20926 and 20942. After we will calculate the factors of 20926 and 20942 and find the biggest common factor number .

Step-1: Prime Factorization of 20926

Prime factors of 20926 are 2, 10463. Prime factorization of 20926 in exponential form is:

20926 = 2¹ × 10463¹

Step-2: Prime Factorization of 20942

Prime factors of 20942 are 2, 37, 283. Prime factorization of 20942 in exponential form is:

20942 = 2¹ × 37¹ × 283¹

Step-3: Factors of 20926

List of positive integer factors of 20926 that divides 20926 without a remainder.

1, 2, 10463

Step-4: Factors of 20942

List of positive integer factors of 20942 that divides 20926 without a remainder.

1, 2, 37, 74, 283, 566, 10471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20926 and 20942. The biggest common factor number is the GCF number.
So the greatest common factor 20926 and 20942 is 2.

Also check out the Least Common Multiple of 20926 and 20942