What is the Greatest Common Factor of 53836 and 53854?

Greatest common factor (GCF) of 53836 and 53854 is 2.

GCF(53836,53854) = 2

We will now calculate the prime factors of 53836 and 53854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53836 and 53854.

How to find the GCF of 53836 and 53854?

We will first find the prime factorization of 53836 and 53854. After we will calculate the factors of 53836 and 53854 and find the biggest common factor number .

Step-1: Prime Factorization of 53836

Prime factors of 53836 are 2, 43, 313. Prime factorization of 53836 in exponential form is:

53836 = 2² × 43¹ × 313¹

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 53836

List of positive integer factors of 53836 that divides 53836 without a remainder.

1, 2, 4, 43, 86, 172, 313, 626, 1252, 13459, 26918

Step-4: Factors of 53854

List of positive integer factors of 53854 that divides 53836 without a remainder.

1, 2, 26927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53836 and 53854. The biggest common factor number is the GCF number.
So the greatest common factor 53836 and 53854 is 2.

Also check out the Least Common Multiple of 53836 and 53854