What is the Greatest Common Factor of 54613 and 54626?

Greatest common factor (GCF) of 54613 and 54626 is 13.

GCF(54613,54626) = 13

We will now calculate the prime factors of 54613 and 54626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54613 and 54626.

How to find the GCF of 54613 and 54626?

We will first find the prime factorization of 54613 and 54626. After we will calculate the factors of 54613 and 54626 and find the biggest common factor number .

Step-1: Prime Factorization of 54613

Prime factors of 54613 are 13, 4201. Prime factorization of 54613 in exponential form is:

54613 = 13¹ × 4201¹

Step-2: Prime Factorization of 54626

Prime factors of 54626 are 2, 11, 13, 191. Prime factorization of 54626 in exponential form is:

54626 = 2¹ × 11¹ × 13¹ × 191¹

Step-3: Factors of 54613

List of positive integer factors of 54613 that divides 54613 without a remainder.

1, 13, 4201

Step-4: Factors of 54626

List of positive integer factors of 54626 that divides 54613 without a remainder.

1, 2, 11, 13, 22, 26, 143, 191, 286, 382, 2101, 2483, 4202, 4966, 27313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54613 and 54626. The biggest common factor number is the GCF number.
So the greatest common factor 54613 and 54626 is 13.

Also check out the Least Common Multiple of 54613 and 54626