What is the Greatest Common Factor of 58761 and 58765?

Greatest common factor (GCF) of 58761 and 58765 is 1.

GCF(58761,58765) = 1

We will now calculate the prime factors of 58761 and 58765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58761 and 58765.

How to find the GCF of 58761 and 58765?

We will first find the prime factorization of 58761 and 58765. After we will calculate the factors of 58761 and 58765 and find the biggest common factor number .

Step-1: Prime Factorization of 58761

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

58761 = 3² × 6529¹

Step-2: Prime Factorization of 58765

Prime factors of 58765 are 5, 7, 23, 73. Prime factorization of 58765 in exponential form is:

58765 = 5¹ × 7¹ × 23¹ × 73¹

Step-3: Factors of 58761

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

1, 3, 9, 6529, 19587

Step-4: Factors of 58765

List of positive integer factors of 58765 that divides 58761 without a remainder.

1, 5, 7, 23, 35, 73, 115, 161, 365, 511, 805, 1679, 2555, 8395, 11753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58761 and 58765. The biggest common factor number is the GCF number.
So the greatest common factor 58761 and 58765 is 1.

Also check out the Least Common Multiple of 58761 and 58765