What is the Greatest Common Factor of 20942 and 20960?

Greatest common factor (GCF) of 20942 and 20960 is 2.

GCF(20942,20960) = 2

We will now calculate the prime factors of 20942 and 20960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20942 and 20960.

How to find the GCF of 20942 and 20960?

We will first find the prime factorization of 20942 and 20960. After we will calculate the factors of 20942 and 20960 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20960

Prime factors of 20960 are 2, 5, 131. Prime factorization of 20960 in exponential form is:

20960 = 2⁵ × 5¹ × 131¹

Step-3: Factors of 20942

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

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

Step-4: Factors of 20960

List of positive integer factors of 20960 that divides 20942 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 131, 160, 262, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 10480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20942 and 20960. The biggest common factor number is the GCF number.
So the greatest common factor 20942 and 20960 is 2.

Also check out the Least Common Multiple of 20942 and 20960