What is the Greatest Common Factor of 52935 and 52953?

Greatest common factor (GCF) of 52935 and 52953 is 3.

GCF(52935,52953) = 3

We will now calculate the prime factors of 52935 and 52953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52935 and 52953.

How to find the GCF of 52935 and 52953?

We will first find the prime factorization of 52935 and 52953. After we will calculate the factors of 52935 and 52953 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 52953

Prime factors of 52953 are 3, 19, 929. Prime factorization of 52953 in exponential form is:

52953 = 3¹ × 19¹ × 929¹

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 52953

List of positive integer factors of 52953 that divides 52935 without a remainder.

1, 3, 19, 57, 929, 2787, 17651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52935 and 52953. The biggest common factor number is the GCF number.
So the greatest common factor 52935 and 52953 is 3.

Also check out the Least Common Multiple of 52935 and 52953