What is the Greatest Common Factor of 52902 and 52917?

Greatest common factor (GCF) of 52902 and 52917 is 3.

GCF(52902,52917) = 3

We will now calculate the prime factors of 52902 and 52917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52902 and 52917.

How to find the GCF of 52902 and 52917?

We will first find the prime factorization of 52902 and 52917. After we will calculate the factors of 52902 and 52917 and find the biggest common factor number .

Step-1: Prime Factorization of 52902

Prime factors of 52902 are 2, 3, 2939. Prime factorization of 52902 in exponential form is:

52902 = 2¹ × 3² × 2939¹

Step-2: Prime Factorization of 52917

Prime factors of 52917 are 3, 31, 569. Prime factorization of 52917 in exponential form is:

52917 = 3¹ × 31¹ × 569¹

Step-3: Factors of 52902

List of positive integer factors of 52902 that divides 52902 without a remainder.

1, 2, 3, 6, 9, 18, 2939, 5878, 8817, 17634, 26451

Step-4: Factors of 52917

List of positive integer factors of 52917 that divides 52902 without a remainder.

1, 3, 31, 93, 569, 1707, 17639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52902 and 52917. The biggest common factor number is the GCF number.
So the greatest common factor 52902 and 52917 is 3.

Also check out the Least Common Multiple of 52902 and 52917