What is the Greatest Common Factor of 28940 and 28946?

Greatest common factor (GCF) of 28940 and 28946 is 2.

GCF(28940,28946) = 2

We will now calculate the prime factors of 28940 and 28946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28940 and 28946.

How to find the GCF of 28940 and 28946?

We will first find the prime factorization of 28940 and 28946. After we will calculate the factors of 28940 and 28946 and find the biggest common factor number .

Step-1: Prime Factorization of 28940

Prime factors of 28940 are 2, 5, 1447. Prime factorization of 28940 in exponential form is:

28940 = 2² × 5¹ × 1447¹

Step-2: Prime Factorization of 28946

Prime factors of 28946 are 2, 41, 353. Prime factorization of 28946 in exponential form is:

28946 = 2¹ × 41¹ × 353¹

Step-3: Factors of 28940

List of positive integer factors of 28940 that divides 28940 without a remainder.

1, 2, 4, 5, 10, 20, 1447, 2894, 5788, 7235, 14470

Step-4: Factors of 28946

List of positive integer factors of 28946 that divides 28940 without a remainder.

1, 2, 41, 82, 353, 706, 14473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28940 and 28946. The biggest common factor number is the GCF number.
So the greatest common factor 28940 and 28946 is 2.

Also check out the Least Common Multiple of 28940 and 28946