What is the Greatest Common Factor of 72943 and 72952?

Greatest common factor (GCF) of 72943 and 72952 is 1.

GCF(72943,72952) = 1

We will now calculate the prime factors of 72943 and 72952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72943 and 72952.

How to find the GCF of 72943 and 72952?

We will first find the prime factorization of 72943 and 72952. After we will calculate the factors of 72943 and 72952 and find the biggest common factor number .

Step-1: Prime Factorization of 72943

Prime factors of 72943 are 13, 31, 181. Prime factorization of 72943 in exponential form is:

72943 = 13¹ × 31¹ × 181¹

Step-2: Prime Factorization of 72952

Prime factors of 72952 are 2, 11, 829. Prime factorization of 72952 in exponential form is:

72952 = 2³ × 11¹ × 829¹

Step-3: Factors of 72943

List of positive integer factors of 72943 that divides 72943 without a remainder.

1, 13, 31, 181, 403, 2353, 5611

Step-4: Factors of 72952

List of positive integer factors of 72952 that divides 72943 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 829, 1658, 3316, 6632, 9119, 18238, 36476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72943 and 72952. The biggest common factor number is the GCF number.
So the greatest common factor 72943 and 72952 is 1.

Also check out the Least Common Multiple of 72943 and 72952