What is the Greatest Common Factor of 53053 and 53066?

Greatest common factor (GCF) of 53053 and 53066 is 13.

GCF(53053,53066) = 13

We will now calculate the prime factors of 53053 and 53066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53053 and 53066.

How to find the GCF of 53053 and 53066?

We will first find the prime factorization of 53053 and 53066. After we will calculate the factors of 53053 and 53066 and find the biggest common factor number .

Step-1: Prime Factorization of 53053

Prime factors of 53053 are 7, 11, 13, 53. Prime factorization of 53053 in exponential form is:

53053 = 7¹ × 11¹ × 13¹ × 53¹

Step-2: Prime Factorization of 53066

Prime factors of 53066 are 2, 13, 157. Prime factorization of 53066 in exponential form is:

53066 = 2¹ × 13² × 157¹

Step-3: Factors of 53053

List of positive integer factors of 53053 that divides 53053 without a remainder.

1, 7, 11, 13, 53, 77, 91, 143, 371, 583, 689, 1001, 4081, 4823, 7579

Step-4: Factors of 53066

List of positive integer factors of 53066 that divides 53053 without a remainder.

1, 2, 13, 26, 157, 169, 314, 338, 2041, 4082, 26533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53053 and 53066. The biggest common factor number is the GCF number.
So the greatest common factor 53053 and 53066 is 13.

Also check out the Least Common Multiple of 53053 and 53066