What is the Greatest Common Factor of 59714 and 59728?

Greatest common factor (GCF) of 59714 and 59728 is 2.

GCF(59714,59728) = 2

We will now calculate the prime factors of 59714 and 59728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59714 and 59728.

How to find the GCF of 59714 and 59728?

We will first find the prime factorization of 59714 and 59728. After we will calculate the factors of 59714 and 59728 and find the biggest common factor number .

Step-1: Prime Factorization of 59714

Prime factors of 59714 are 2, 73, 409. Prime factorization of 59714 in exponential form is:

59714 = 2¹ × 73¹ × 409¹

Step-2: Prime Factorization of 59728

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

59728 = 2⁴ × 3733¹

Step-3: Factors of 59714

List of positive integer factors of 59714 that divides 59714 without a remainder.

1, 2, 73, 146, 409, 818, 29857

Step-4: Factors of 59728

List of positive integer factors of 59728 that divides 59714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59714 and 59728. The biggest common factor number is the GCF number.
So the greatest common factor 59714 and 59728 is 2.

Also check out the Least Common Multiple of 59714 and 59728