What is the Greatest Common Factor of 74361 and 74373?

Greatest common factor (GCF) of 74361 and 74373 is 3.

GCF(74361,74373) = 3

We will now calculate the prime factors of 74361 and 74373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74361 and 74373.

How to find the GCF of 74361 and 74373?

We will first find the prime factorization of 74361 and 74373. After we will calculate the factors of 74361 and 74373 and find the biggest common factor number .

Step-1: Prime Factorization of 74361

Prime factors of 74361 are 3, 7, 3541. Prime factorization of 74361 in exponential form is:

74361 = 3¹ × 7¹ × 3541¹

Step-2: Prime Factorization of 74373

Prime factors of 74373 are 3, 13, 1907. Prime factorization of 74373 in exponential form is:

74373 = 3¹ × 13¹ × 1907¹

Step-3: Factors of 74361

List of positive integer factors of 74361 that divides 74361 without a remainder.

1, 3, 7, 21, 3541, 10623, 24787

Step-4: Factors of 74373

List of positive integer factors of 74373 that divides 74361 without a remainder.

1, 3, 13, 39, 1907, 5721, 24791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74361 and 74373. The biggest common factor number is the GCF number.
So the greatest common factor 74361 and 74373 is 3.

Also check out the Least Common Multiple of 74361 and 74373