What is the Greatest Common Factor of 78573 and 78588?

Greatest common factor (GCF) of 78573 and 78588 is 3.

GCF(78573,78588) = 3

We will now calculate the prime factors of 78573 and 78588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78573 and 78588.

How to find the GCF of 78573 and 78588?

We will first find the prime factorization of 78573 and 78588. After we will calculate the factors of 78573 and 78588 and find the biggest common factor number .

Step-1: Prime Factorization of 78573

Prime factors of 78573 are 3, 11, 2381. Prime factorization of 78573 in exponential form is:

78573 = 3¹ × 11¹ × 2381¹

Step-2: Prime Factorization of 78588

Prime factors of 78588 are 2, 3, 37, 59. Prime factorization of 78588 in exponential form is:

78588 = 2² × 3² × 37¹ × 59¹

Step-3: Factors of 78573

List of positive integer factors of 78573 that divides 78573 without a remainder.

1, 3, 11, 33, 2381, 7143, 26191

Step-4: Factors of 78588

List of positive integer factors of 78588 that divides 78573 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 59, 74, 111, 118, 148, 177, 222, 236, 333, 354, 444, 531, 666, 708, 1062, 1332, 2124, 2183, 4366, 6549, 8732, 13098, 19647, 26196, 39294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78573 and 78588. The biggest common factor number is the GCF number.
So the greatest common factor 78573 and 78588 is 3.

Also check out the Least Common Multiple of 78573 and 78588