What is the Greatest Common Factor of 10940 and 10954?

Greatest common factor (GCF) of 10940 and 10954 is 2.

GCF(10940,10954) = 2

We will now calculate the prime factors of 10940 and 10954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10940 and 10954.

How to find the GCF of 10940 and 10954?

We will first find the prime factorization of 10940 and 10954. After we will calculate the factors of 10940 and 10954 and find the biggest common factor number .

Step-1: Prime Factorization of 10940

Prime factors of 10940 are 2, 5, 547. Prime factorization of 10940 in exponential form is:

10940 = 2² × 5¹ × 547¹

Step-2: Prime Factorization of 10954

Prime factors of 10954 are 2, 5477. Prime factorization of 10954 in exponential form is:

10954 = 2¹ × 5477¹

Step-3: Factors of 10940

List of positive integer factors of 10940 that divides 10940 without a remainder.

1, 2, 4, 5, 10, 20, 547, 1094, 2188, 2735, 5470

Step-4: Factors of 10954

List of positive integer factors of 10954 that divides 10940 without a remainder.

1, 2, 5477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10940 and 10954. The biggest common factor number is the GCF number.
So the greatest common factor 10940 and 10954 is 2.

Also check out the Least Common Multiple of 10940 and 10954