What is the Greatest Common Factor of 52935 and 52950?

Greatest common factor (GCF) of 52935 and 52950 is 15.

GCF(52935,52950) = 15

We will now calculate the prime factors of 52935 and 52950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52935 and 52950.

How to find the GCF of 52935 and 52950?

We will first find the prime factorization of 52935 and 52950. After we will calculate the factors of 52935 and 52950 and find the biggest common factor number .

Step-1: Prime Factorization of 52935

Prime factors of 52935 are 3, 5, 3529. Prime factorization of 52935 in exponential form is:

52935 = 3¹ × 5¹ × 3529¹

Step-2: Prime Factorization of 52950

Prime factors of 52950 are 2, 3, 5, 353. Prime factorization of 52950 in exponential form is:

52950 = 2¹ × 3¹ × 5² × 353¹

Step-3: Factors of 52935

List of positive integer factors of 52935 that divides 52935 without a remainder.

1, 3, 5, 15, 3529, 10587, 17645

Step-4: Factors of 52950

List of positive integer factors of 52950 that divides 52935 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 353, 706, 1059, 1765, 2118, 3530, 5295, 8825, 10590, 17650, 26475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52935 and 52950. The biggest common factor number is the GCF number.
So the greatest common factor 52935 and 52950 is 15.

Also check out the Least Common Multiple of 52935 and 52950