What is the Greatest Common Factor of 72924 and 72943?

Greatest common factor (GCF) of 72924 and 72943 is 1.

GCF(72924,72943) = 1

We will now calculate the prime factors of 72924 and 72943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72924 and 72943.

How to find the GCF of 72924 and 72943?

We will first find the prime factorization of 72924 and 72943. After we will calculate the factors of 72924 and 72943 and find the biggest common factor number .

Step-1: Prime Factorization of 72924

Prime factors of 72924 are 2, 3, 59, 103. Prime factorization of 72924 in exponential form is:

72924 = 2² × 3¹ × 59¹ × 103¹

Step-2: 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-3: Factors of 72924

List of positive integer factors of 72924 that divides 72924 without a remainder.

1, 2, 3, 4, 6, 12, 59, 103, 118, 177, 206, 236, 309, 354, 412, 618, 708, 1236, 6077, 12154, 18231, 24308, 36462

Step-4: Factors of 72943

List of positive integer factors of 72943 that divides 72924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72924 and 72943. The biggest common factor number is the GCF number.
So the greatest common factor 72924 and 72943 is 1.

Also check out the Least Common Multiple of 72924 and 72943