What is the Greatest Common Factor of 52071 and 52088?

Greatest common factor (GCF) of 52071 and 52088 is 17.

GCF(52071,52088) = 17

We will now calculate the prime factors of 52071 and 52088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52071 and 52088.

How to find the GCF of 52071 and 52088?

We will first find the prime factorization of 52071 and 52088. After we will calculate the factors of 52071 and 52088 and find the biggest common factor number .

Step-1: Prime Factorization of 52071

Prime factors of 52071 are 3, 17, 1021. Prime factorization of 52071 in exponential form is:

52071 = 3¹ × 17¹ × 1021¹

Step-2: Prime Factorization of 52088

Prime factors of 52088 are 2, 17, 383. Prime factorization of 52088 in exponential form is:

52088 = 2³ × 17¹ × 383¹

Step-3: Factors of 52071

List of positive integer factors of 52071 that divides 52071 without a remainder.

1, 3, 17, 51, 1021, 3063, 17357

Step-4: Factors of 52088

List of positive integer factors of 52088 that divides 52071 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 383, 766, 1532, 3064, 6511, 13022, 26044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52071 and 52088. The biggest common factor number is the GCF number.
So the greatest common factor 52071 and 52088 is 17.

Also check out the Least Common Multiple of 52071 and 52088