What is the Greatest Common Factor of 73270 and 73288?

Greatest common factor (GCF) of 73270 and 73288 is 2.

GCF(73270,73288) = 2

We will now calculate the prime factors of 73270 and 73288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73270 and 73288.

How to find the GCF of 73270 and 73288?

We will first find the prime factorization of 73270 and 73288. After we will calculate the factors of 73270 and 73288 and find the biggest common factor number .

Step-1: Prime Factorization of 73270

Prime factors of 73270 are 2, 5, 17, 431. Prime factorization of 73270 in exponential form is:

73270 = 2¹ × 5¹ × 17¹ × 431¹

Step-2: Prime Factorization of 73288

Prime factors of 73288 are 2, 9161. Prime factorization of 73288 in exponential form is:

73288 = 2³ × 9161¹

Step-3: Factors of 73270

List of positive integer factors of 73270 that divides 73270 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 431, 862, 2155, 4310, 7327, 14654, 36635

Step-4: Factors of 73288

List of positive integer factors of 73288 that divides 73270 without a remainder.

1, 2, 4, 8, 9161, 18322, 36644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73270 and 73288. The biggest common factor number is the GCF number.
So the greatest common factor 73270 and 73288 is 2.

Also check out the Least Common Multiple of 73270 and 73288