What is the Greatest Common Factor of 53061 and 53067?

Greatest common factor (GCF) of 53061 and 53067 is 3.

GCF(53061,53067) = 3

We will now calculate the prime factors of 53061 and 53067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53061 and 53067.

How to find the GCF of 53061 and 53067?

We will first find the prime factorization of 53061 and 53067. After we will calculate the factors of 53061 and 53067 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53067

Prime factors of 53067 are 3, 7, 19. Prime factorization of 53067 in exponential form is:

53067 = 3¹ × 7² × 19²

Step-3: Factors of 53061

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

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

Step-4: Factors of 53067

List of positive integer factors of 53067 that divides 53061 without a remainder.

1, 3, 7, 19, 21, 49, 57, 133, 147, 361, 399, 931, 1083, 2527, 2793, 7581, 17689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53061 and 53067. The biggest common factor number is the GCF number.
So the greatest common factor 53061 and 53067 is 3.

Also check out the Least Common Multiple of 53061 and 53067