What is the Greatest Common Factor of 73372 and 73377?

Greatest common factor (GCF) of 73372 and 73377 is 1.

GCF(73372,73377) = 1

We will now calculate the prime factors of 73372 and 73377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73372 and 73377.

How to find the GCF of 73372 and 73377?

We will first find the prime factorization of 73372 and 73377. After we will calculate the factors of 73372 and 73377 and find the biggest common factor number .

Step-1: Prime Factorization of 73372

Prime factors of 73372 are 2, 13, 17, 83. Prime factorization of 73372 in exponential form is:

73372 = 2² × 13¹ × 17¹ × 83¹

Step-2: Prime Factorization of 73377

Prime factors of 73377 are 3, 31, 263. Prime factorization of 73377 in exponential form is:

73377 = 3² × 31¹ × 263¹

Step-3: Factors of 73372

List of positive integer factors of 73372 that divides 73372 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 83, 166, 221, 332, 442, 884, 1079, 1411, 2158, 2822, 4316, 5644, 18343, 36686

Step-4: Factors of 73377

List of positive integer factors of 73377 that divides 73372 without a remainder.

1, 3, 9, 31, 93, 263, 279, 789, 2367, 8153, 24459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73372 and 73377. The biggest common factor number is the GCF number.
So the greatest common factor 73372 and 73377 is 1.

Also check out the Least Common Multiple of 73372 and 73377