What is the Greatest Common Factor of 52589 and 52602?

Greatest common factor (GCF) of 52589 and 52602 is 1.

GCF(52589,52602) = 1

We will now calculate the prime factors of 52589 and 52602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52589 and 52602.

How to find the GCF of 52589 and 52602?

We will first find the prime factorization of 52589 and 52602. After we will calculate the factors of 52589 and 52602 and find the biggest common factor number .

Step-1: Prime Factorization of 52589

Prime factors of 52589 are 43, 1223. Prime factorization of 52589 in exponential form is:

52589 = 43¹ × 1223¹

Step-2: Prime Factorization of 52602

Prime factors of 52602 are 2, 3, 11, 797. Prime factorization of 52602 in exponential form is:

52602 = 2¹ × 3¹ × 11¹ × 797¹

Step-3: Factors of 52589

List of positive integer factors of 52589 that divides 52589 without a remainder.

1, 43, 1223

Step-4: Factors of 52602

List of positive integer factors of 52602 that divides 52589 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 797, 1594, 2391, 4782, 8767, 17534, 26301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52589 and 52602. The biggest common factor number is the GCF number.
So the greatest common factor 52589 and 52602 is 1.

Also check out the Least Common Multiple of 52589 and 52602