What is the Greatest Common Factor of 73283 and 73290?

Greatest common factor (GCF) of 73283 and 73290 is 7.

GCF(73283,73290) = 7

We will now calculate the prime factors of 73283 and 73290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73283 and 73290.

How to find the GCF of 73283 and 73290?

We will first find the prime factorization of 73283 and 73290. After we will calculate the factors of 73283 and 73290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73290

Prime factors of 73290 are 2, 3, 5, 7, 349. Prime factorization of 73290 in exponential form is:

73290 = 2¹ × 3¹ × 5¹ × 7¹ × 349¹

Step-3: Factors of 73283

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

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

Step-4: Factors of 73290

List of positive integer factors of 73290 that divides 73283 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 349, 698, 1047, 1745, 2094, 2443, 3490, 4886, 5235, 7329, 10470, 12215, 14658, 24430, 36645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73283 and 73290. The biggest common factor number is the GCF number.
So the greatest common factor 73283 and 73290 is 7.

Also check out the Least Common Multiple of 73283 and 73290