What is the Greatest Common Factor of 20960 and 20974?

Greatest common factor (GCF) of 20960 and 20974 is 2.

GCF(20960,20974) = 2

We will now calculate the prime factors of 20960 and 20974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20960 and 20974.

How to find the GCF of 20960 and 20974?

We will first find the prime factorization of 20960 and 20974. After we will calculate the factors of 20960 and 20974 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20974

Prime factors of 20974 are 2, 10487. Prime factorization of 20974 in exponential form is:

20974 = 2¹ × 10487¹

Step-3: Factors of 20960

List of positive integer factors of 20960 that divides 20960 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

Step-4: Factors of 20974

List of positive integer factors of 20974 that divides 20960 without a remainder.

1, 2, 10487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20960 and 20974. The biggest common factor number is the GCF number.
So the greatest common factor 20960 and 20974 is 2.

Also check out the Least Common Multiple of 20960 and 20974