What is the Greatest Common Factor of 20954 and 20962?

Greatest common factor (GCF) of 20954 and 20962 is 2.

GCF(20954,20962) = 2

We will now calculate the prime factors of 20954 and 20962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20954 and 20962.

How to find the GCF of 20954 and 20962?

We will first find the prime factorization of 20954 and 20962. After we will calculate the factors of 20954 and 20962 and find the biggest common factor number .

Step-1: Prime Factorization of 20954

Prime factors of 20954 are 2, 10477. Prime factorization of 20954 in exponential form is:

20954 = 2¹ × 10477¹

Step-2: Prime Factorization of 20962

Prime factors of 20962 are 2, 47, 223. Prime factorization of 20962 in exponential form is:

20962 = 2¹ × 47¹ × 223¹

Step-3: Factors of 20954

List of positive integer factors of 20954 that divides 20954 without a remainder.

1, 2, 10477

Step-4: Factors of 20962

List of positive integer factors of 20962 that divides 20954 without a remainder.

1, 2, 47, 94, 223, 446, 10481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20954 and 20962. The biggest common factor number is the GCF number.
So the greatest common factor 20954 and 20962 is 2.

Also check out the Least Common Multiple of 20954 and 20962