What is the Greatest Common Factor of 73099 and 73112?

Greatest common factor (GCF) of 73099 and 73112 is 13.

GCF(73099,73112) = 13

We will now calculate the prime factors of 73099 and 73112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73099 and 73112.

How to find the GCF of 73099 and 73112?

We will first find the prime factorization of 73099 and 73112. After we will calculate the factors of 73099 and 73112 and find the biggest common factor number .

Step-1: Prime Factorization of 73099

Prime factors of 73099 are 13, 5623. Prime factorization of 73099 in exponential form is:

73099 = 13¹ × 5623¹

Step-2: Prime Factorization of 73112

Prime factors of 73112 are 2, 13, 19, 37. Prime factorization of 73112 in exponential form is:

73112 = 2³ × 13¹ × 19¹ × 37¹

Step-3: Factors of 73099

List of positive integer factors of 73099 that divides 73099 without a remainder.

1, 13, 5623

Step-4: Factors of 73112

List of positive integer factors of 73112 that divides 73099 without a remainder.

1, 2, 4, 8, 13, 19, 26, 37, 38, 52, 74, 76, 104, 148, 152, 247, 296, 481, 494, 703, 962, 988, 1406, 1924, 1976, 2812, 3848, 5624, 9139, 18278, 36556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73099 and 73112. The biggest common factor number is the GCF number.
So the greatest common factor 73099 and 73112 is 13.

Also check out the Least Common Multiple of 73099 and 73112