What is the Greatest Common Factor of 53052 and 53059?

Greatest common factor (GCF) of 53052 and 53059 is 1.

GCF(53052,53059) = 1

We will now calculate the prime factors of 53052 and 53059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53052 and 53059.

How to find the GCF of 53052 and 53059?

We will first find the prime factorization of 53052 and 53059. After we will calculate the factors of 53052 and 53059 and find the biggest common factor number .

Step-1: Prime Factorization of 53052

Prime factors of 53052 are 2, 3, 4421. Prime factorization of 53052 in exponential form is:

53052 = 2² × 3¹ × 4421¹

Step-2: Prime Factorization of 53059

Prime factors of 53059 are 97, 547. Prime factorization of 53059 in exponential form is:

53059 = 97¹ × 547¹

Step-3: Factors of 53052

List of positive integer factors of 53052 that divides 53052 without a remainder.

1, 2, 3, 4, 6, 12, 4421, 8842, 13263, 17684, 26526

Step-4: Factors of 53059

List of positive integer factors of 53059 that divides 53052 without a remainder.

1, 97, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53052 and 53059. The biggest common factor number is the GCF number.
So the greatest common factor 53052 and 53059 is 1.

Also check out the Least Common Multiple of 53052 and 53059