What is the Greatest Common Factor of 73276 and 73290?

Greatest common factor (GCF) of 73276 and 73290 is 14.

GCF(73276,73290) = 14

We will now calculate the prime factors of 73276 and 73290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73276 and 73290.

How to find the GCF of 73276 and 73290?

We will first find the prime factorization of 73276 and 73290. After we will calculate the factors of 73276 and 73290 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 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 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 73290

List of positive integer factors of 73290 that divides 73276 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 73276 and 73290. The biggest common factor number is the GCF number.
So the greatest common factor 73276 and 73290 is 14.

Also check out the Least Common Multiple of 73276 and 73290