What is the Greatest Common Factor of 53049 and 53053?

Greatest common factor (GCF) of 53049 and 53053 is 1.

GCF(53049,53053) = 1

We will now calculate the prime factors of 53049 and 53053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53049 and 53053.

How to find the GCF of 53049 and 53053?

We will first find the prime factorization of 53049 and 53053. After we will calculate the factors of 53049 and 53053 and find the biggest common factor number .

Step-1: Prime Factorization of 53049

Prime factors of 53049 are 3, 17683. Prime factorization of 53049 in exponential form is:

53049 = 3¹ × 17683¹

Step-2: 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-3: Factors of 53049

List of positive integer factors of 53049 that divides 53049 without a remainder.

1, 3, 17683

Step-4: Factors of 53053

List of positive integer factors of 53053 that divides 53049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53049 and 53053. The biggest common factor number is the GCF number.
So the greatest common factor 53049 and 53053 is 1.

Also check out the Least Common Multiple of 53049 and 53053