What is the Greatest Common Factor of 73276 and 73283?

Greatest common factor (GCF) of 73276 and 73283 is 7.

GCF(73276,73283) = 7

We will now calculate the prime factors of 73276 and 73283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73276 and 73283.

How to find the GCF of 73276 and 73283?

We will first find the prime factorization of 73276 and 73283. After we will calculate the factors of 73276 and 73283 and find the biggest common factor number .

Step-1: Prime Factorization of 73276

Prime factors of 73276 are 2, 7, 2617. Prime factorization of 73276 in exponential form is:

73276 = 2² × 7¹ × 2617¹

Step-2: Prime Factorization of 73283

Prime factors of 73283 are 7, 19, 29. Prime factorization of 73283 in exponential form is:

73283 = 7¹ × 19² × 29¹

Step-3: Factors of 73276

List of positive integer factors of 73276 that divides 73276 without a remainder.

1, 2, 4, 7, 14, 28, 2617, 5234, 10468, 18319, 36638

Step-4: Factors of 73283

List of positive integer factors of 73283 that divides 73276 without a remainder.

1, 7, 19, 29, 133, 203, 361, 551, 2527, 3857, 10469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73276 and 73283. The biggest common factor number is the GCF number.
So the greatest common factor 73276 and 73283 is 7.

Also check out the Least Common Multiple of 73276 and 73283