What is the Greatest Common Factor of 73106 and 73117?

Greatest common factor (GCF) of 73106 and 73117 is 11.

GCF(73106,73117) = 11

We will now calculate the prime factors of 73106 and 73117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73106 and 73117.

How to find the GCF of 73106 and 73117?

We will first find the prime factorization of 73106 and 73117. After we will calculate the factors of 73106 and 73117 and find the biggest common factor number .

Step-1: Prime Factorization of 73106

Prime factors of 73106 are 2, 11, 3323. Prime factorization of 73106 in exponential form is:

73106 = 2¹ × 11¹ × 3323¹

Step-2: Prime Factorization of 73117

Prime factors of 73117 are 11, 17, 23. Prime factorization of 73117 in exponential form is:

73117 = 11¹ × 17² × 23¹

Step-3: Factors of 73106

List of positive integer factors of 73106 that divides 73106 without a remainder.

1, 2, 11, 22, 3323, 6646, 36553

Step-4: Factors of 73117

List of positive integer factors of 73117 that divides 73106 without a remainder.

1, 11, 17, 23, 187, 253, 289, 391, 3179, 4301, 6647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73106 and 73117. The biggest common factor number is the GCF number.
So the greatest common factor 73106 and 73117 is 11.

Also check out the Least Common Multiple of 73106 and 73117