What is the Greatest Common Factor of 53053 and 53061?

Greatest common factor (GCF) of 53053 and 53061 is 1.

GCF(53053,53061) = 1

We will now calculate the prime factors of 53053 and 53061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53053 and 53061.

How to find the GCF of 53053 and 53061?

We will first find the prime factorization of 53053 and 53061. After we will calculate the factors of 53053 and 53061 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 53061

Prime factors of 53061 are 3, 23, 769. Prime factorization of 53061 in exponential form is:

53061 = 3¹ × 23¹ × 769¹

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 53061

List of positive integer factors of 53061 that divides 53053 without a remainder.

1, 3, 23, 69, 769, 2307, 17687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53053 and 53061. The biggest common factor number is the GCF number.
So the greatest common factor 53053 and 53061 is 1.

Also check out the Least Common Multiple of 53053 and 53061