What is the Greatest Common Factor of 52870 and 52888?

Greatest common factor (GCF) of 52870 and 52888 is 2.

GCF(52870,52888) = 2

We will now calculate the prime factors of 52870 and 52888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52870 and 52888.

How to find the GCF of 52870 and 52888?

We will first find the prime factorization of 52870 and 52888. After we will calculate the factors of 52870 and 52888 and find the biggest common factor number .

Step-1: Prime Factorization of 52870

Prime factors of 52870 are 2, 5, 17, 311. Prime factorization of 52870 in exponential form is:

52870 = 2¹ × 5¹ × 17¹ × 311¹

Step-2: Prime Factorization of 52888

Prime factors of 52888 are 2, 11, 601. Prime factorization of 52888 in exponential form is:

52888 = 2³ × 11¹ × 601¹

Step-3: Factors of 52870

List of positive integer factors of 52870 that divides 52870 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 311, 622, 1555, 3110, 5287, 10574, 26435

Step-4: Factors of 52888

List of positive integer factors of 52888 that divides 52870 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 601, 1202, 2404, 4808, 6611, 13222, 26444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52870 and 52888. The biggest common factor number is the GCF number.
So the greatest common factor 52870 and 52888 is 2.

Also check out the Least Common Multiple of 52870 and 52888