What is the Greatest Common Factor of 73712 and 73721?

Greatest common factor (GCF) of 73712 and 73721 is 1.

GCF(73712,73721) = 1

We will now calculate the prime factors of 73712 and 73721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73712 and 73721.

How to find the GCF of 73712 and 73721?

We will first find the prime factorization of 73712 and 73721. After we will calculate the factors of 73712 and 73721 and find the biggest common factor number .

Step-1: Prime Factorization of 73712

Prime factors of 73712 are 2, 17, 271. Prime factorization of 73712 in exponential form is:

73712 = 2⁴ × 17¹ × 271¹

Step-2: Prime Factorization of 73721

Prime factors of 73721 are 73721. Prime factorization of 73721 in exponential form is:

73721 = 73721¹

Step-3: Factors of 73712

List of positive integer factors of 73712 that divides 73712 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 271, 272, 542, 1084, 2168, 4336, 4607, 9214, 18428, 36856

Step-4: Factors of 73721

List of positive integer factors of 73721 that divides 73712 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73712 and 73721. The biggest common factor number is the GCF number.
So the greatest common factor 73712 and 73721 is 1.

Also check out the Least Common Multiple of 73712 and 73721