What is the Greatest Common Factor of 53067 and 53085?

Greatest common factor (GCF) of 53067 and 53085 is 3.

GCF(53067,53085) = 3

We will now calculate the prime factors of 53067 and 53085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53067 and 53085.

How to find the GCF of 53067 and 53085?

We will first find the prime factorization of 53067 and 53085. After we will calculate the factors of 53067 and 53085 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53085

Prime factors of 53085 are 3, 5, 3539. Prime factorization of 53085 in exponential form is:

53085 = 3¹ × 5¹ × 3539¹

Step-3: Factors of 53067

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

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

Step-4: Factors of 53085

List of positive integer factors of 53085 that divides 53067 without a remainder.

1, 3, 5, 15, 3539, 10617, 17695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53067 and 53085. The biggest common factor number is the GCF number.
So the greatest common factor 53067 and 53085 is 3.

Also check out the Least Common Multiple of 53067 and 53085