What is the Greatest Common Factor of 53014 and 53027?

Greatest common factor (GCF) of 53014 and 53027 is 13.

GCF(53014,53027) = 13

We will now calculate the prime factors of 53014 and 53027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53014 and 53027.

How to find the GCF of 53014 and 53027?

We will first find the prime factorization of 53014 and 53027. After we will calculate the factors of 53014 and 53027 and find the biggest common factor number .

Step-1: Prime Factorization of 53014

Prime factors of 53014 are 2, 13, 2039. Prime factorization of 53014 in exponential form is:

53014 = 2¹ × 13¹ × 2039¹

Step-2: Prime Factorization of 53027

Prime factors of 53027 are 13, 4079. Prime factorization of 53027 in exponential form is:

53027 = 13¹ × 4079¹

Step-3: Factors of 53014

List of positive integer factors of 53014 that divides 53014 without a remainder.

1, 2, 13, 26, 2039, 4078, 26507

Step-4: Factors of 53027

List of positive integer factors of 53027 that divides 53014 without a remainder.

1, 13, 4079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53014 and 53027. The biggest common factor number is the GCF number.
So the greatest common factor 53014 and 53027 is 13.

Also check out the Least Common Multiple of 53014 and 53027