What is the Greatest Common Factor of 61374 and 61389?

Greatest common factor (GCF) of 61374 and 61389 is 3.

GCF(61374,61389) = 3

We will now calculate the prime factors of 61374 and 61389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61374 and 61389.

How to find the GCF of 61374 and 61389?

We will first find the prime factorization of 61374 and 61389. After we will calculate the factors of 61374 and 61389 and find the biggest common factor number .

Step-1: Prime Factorization of 61374

Prime factors of 61374 are 2, 3, 53, 193. Prime factorization of 61374 in exponential form is:

61374 = 2¹ × 3¹ × 53¹ × 193¹

Step-2: Prime Factorization of 61389

Prime factors of 61389 are 3, 19, 359. Prime factorization of 61389 in exponential form is:

61389 = 3² × 19¹ × 359¹

Step-3: Factors of 61374

List of positive integer factors of 61374 that divides 61374 without a remainder.

1, 2, 3, 6, 53, 106, 159, 193, 318, 386, 579, 1158, 10229, 20458, 30687

Step-4: Factors of 61389

List of positive integer factors of 61389 that divides 61374 without a remainder.

1, 3, 9, 19, 57, 171, 359, 1077, 3231, 6821, 20463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61374 and 61389. The biggest common factor number is the GCF number.
So the greatest common factor 61374 and 61389 is 3.

Also check out the Least Common Multiple of 61374 and 61389