What is the Greatest Common Factor of 53846 and 53854?

Greatest common factor (GCF) of 53846 and 53854 is 2.

GCF(53846,53854) = 2

We will now calculate the prime factors of 53846 and 53854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53846 and 53854.

How to find the GCF of 53846 and 53854?

We will first find the prime factorization of 53846 and 53854. After we will calculate the factors of 53846 and 53854 and find the biggest common factor number .

Step-1: Prime Factorization of 53846

Prime factors of 53846 are 2, 13, 19, 109. Prime factorization of 53846 in exponential form is:

53846 = 2¹ × 13¹ × 19¹ × 109¹

Step-2: Prime Factorization of 53854

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

53854 = 2¹ × 26927¹

Step-3: Factors of 53846

List of positive integer factors of 53846 that divides 53846 without a remainder.

1, 2, 13, 19, 26, 38, 109, 218, 247, 494, 1417, 2071, 2834, 4142, 26923

Step-4: Factors of 53854

List of positive integer factors of 53854 that divides 53846 without a remainder.

1, 2, 26927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53846 and 53854. The biggest common factor number is the GCF number.
So the greatest common factor 53846 and 53854 is 2.

Also check out the Least Common Multiple of 53846 and 53854