What is the Greatest Common Factor of 73398 and 73411?

Greatest common factor (GCF) of 73398 and 73411 is 13.

GCF(73398,73411) = 13

We will now calculate the prime factors of 73398 and 73411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73398 and 73411.

How to find the GCF of 73398 and 73411?

We will first find the prime factorization of 73398 and 73411. After we will calculate the factors of 73398 and 73411 and find the biggest common factor number .

Step-1: Prime Factorization of 73398

Prime factors of 73398 are 2, 3, 13, 941. Prime factorization of 73398 in exponential form is:

73398 = 2¹ × 3¹ × 13¹ × 941¹

Step-2: Prime Factorization of 73411

Prime factors of 73411 are 13, 5647. Prime factorization of 73411 in exponential form is:

73411 = 13¹ × 5647¹

Step-3: Factors of 73398

List of positive integer factors of 73398 that divides 73398 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 941, 1882, 2823, 5646, 12233, 24466, 36699

Step-4: Factors of 73411

List of positive integer factors of 73411 that divides 73398 without a remainder.

1, 13, 5647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73398 and 73411. The biggest common factor number is the GCF number.
So the greatest common factor 73398 and 73411 is 13.

Also check out the Least Common Multiple of 73398 and 73411