What is the Greatest Common Factor of 60724 and 60743?

Greatest common factor (GCF) of 60724 and 60743 is 19.

GCF(60724,60743) = 19

We will now calculate the prime factors of 60724 and 60743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60724 and 60743.

How to find the GCF of 60724 and 60743?

We will first find the prime factorization of 60724 and 60743. After we will calculate the factors of 60724 and 60743 and find the biggest common factor number .

Step-1: Prime Factorization of 60724

Prime factors of 60724 are 2, 17, 19, 47. Prime factorization of 60724 in exponential form is:

60724 = 2² × 17¹ × 19¹ × 47¹

Step-2: Prime Factorization of 60743

Prime factors of 60743 are 19, 23, 139. Prime factorization of 60743 in exponential form is:

60743 = 19¹ × 23¹ × 139¹

Step-3: Factors of 60724

List of positive integer factors of 60724 that divides 60724 without a remainder.

1, 2, 4, 17, 19, 34, 38, 47, 68, 76, 94, 188, 323, 646, 799, 893, 1292, 1598, 1786, 3196, 3572, 15181, 30362

Step-4: Factors of 60743

List of positive integer factors of 60743 that divides 60724 without a remainder.

1, 19, 23, 139, 437, 2641, 3197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60724 and 60743. The biggest common factor number is the GCF number.
So the greatest common factor 60724 and 60743 is 19.

Also check out the Least Common Multiple of 60724 and 60743