What is the Greatest Common Factor of 53854 and 53862?

Greatest common factor (GCF) of 53854 and 53862 is 2.

GCF(53854,53862) = 2

We will now calculate the prime factors of 53854 and 53862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53854 and 53862.

How to find the GCF of 53854 and 53862?

We will first find the prime factorization of 53854 and 53862. After we will calculate the factors of 53854 and 53862 and find the biggest common factor number .

Step-1: Prime Factorization of 53854

Prime factors of 53854 are 2, 26927. Prime factorization of 53854 in exponential form is:

53854 = 2¹ × 26927¹

Step-2: Prime Factorization of 53862

Prime factors of 53862 are 2, 3, 47, 191. Prime factorization of 53862 in exponential form is:

53862 = 2¹ × 3¹ × 47¹ × 191¹

Step-3: Factors of 53854

List of positive integer factors of 53854 that divides 53854 without a remainder.

1, 2, 26927

Step-4: Factors of 53862

List of positive integer factors of 53862 that divides 53854 without a remainder.

1, 2, 3, 6, 47, 94, 141, 191, 282, 382, 573, 1146, 8977, 17954, 26931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53854 and 53862. The biggest common factor number is the GCF number.
So the greatest common factor 53854 and 53862 is 2.

Also check out the Least Common Multiple of 53854 and 53862