What is the Greatest Common Factor of 59728 and 59742?

Greatest common factor (GCF) of 59728 and 59742 is 2.

GCF(59728,59742) = 2

We will now calculate the prime factors of 59728 and 59742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59728 and 59742.

How to find the GCF of 59728 and 59742?

We will first find the prime factorization of 59728 and 59742. After we will calculate the factors of 59728 and 59742 and find the biggest common factor number .

Step-1: Prime Factorization of 59728

Prime factors of 59728 are 2, 3733. Prime factorization of 59728 in exponential form is:

59728 = 2⁴ × 3733¹

Step-2: Prime Factorization of 59742

Prime factors of 59742 are 2, 3, 3319. Prime factorization of 59742 in exponential form is:

59742 = 2¹ × 3² × 3319¹

Step-3: Factors of 59728

List of positive integer factors of 59728 that divides 59728 without a remainder.

1, 2, 4, 8, 16, 3733, 7466, 14932, 29864

Step-4: Factors of 59742

List of positive integer factors of 59742 that divides 59728 without a remainder.

1, 2, 3, 6, 9, 18, 3319, 6638, 9957, 19914, 29871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59728 and 59742. The biggest common factor number is the GCF number.
So the greatest common factor 59728 and 59742 is 2.

Also check out the Least Common Multiple of 59728 and 59742