What is the Greatest Common Factor of 58744 and 58761?

Greatest common factor (GCF) of 58744 and 58761 is 1.

GCF(58744,58761) = 1

We will now calculate the prime factors of 58744 and 58761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58744 and 58761.

How to find the GCF of 58744 and 58761?

We will first find the prime factorization of 58744 and 58761. After we will calculate the factors of 58744 and 58761 and find the biggest common factor number .

Step-1: Prime Factorization of 58744

Prime factors of 58744 are 2, 7, 1049. Prime factorization of 58744 in exponential form is:

58744 = 2³ × 7¹ × 1049¹

Step-2: Prime Factorization of 58761

Prime factors of 58761 are 3, 6529. Prime factorization of 58761 in exponential form is:

58761 = 3² × 6529¹

Step-3: Factors of 58744

List of positive integer factors of 58744 that divides 58744 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1049, 2098, 4196, 7343, 8392, 14686, 29372

Step-4: Factors of 58761

List of positive integer factors of 58761 that divides 58744 without a remainder.

1, 3, 9, 6529, 19587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58744 and 58761. The biggest common factor number is the GCF number.
So the greatest common factor 58744 and 58761 is 1.

Also check out the Least Common Multiple of 58744 and 58761