What is the Greatest Common Factor of 58782 and 58787?

Greatest common factor (GCF) of 58782 and 58787 is 1.

GCF(58782,58787) = 1

We will now calculate the prime factors of 58782 and 58787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58782 and 58787.

How to find the GCF of 58782 and 58787?

We will first find the prime factorization of 58782 and 58787. After we will calculate the factors of 58782 and 58787 and find the biggest common factor number .

Step-1: Prime Factorization of 58782

Prime factors of 58782 are 2, 3, 97, 101. Prime factorization of 58782 in exponential form is:

58782 = 2¹ × 3¹ × 97¹ × 101¹

Step-2: Prime Factorization of 58787

Prime factors of 58787 are 58787. Prime factorization of 58787 in exponential form is:

58787 = 58787¹

Step-3: Factors of 58782

List of positive integer factors of 58782 that divides 58782 without a remainder.

1, 2, 3, 6, 97, 101, 194, 202, 291, 303, 582, 606, 9797, 19594, 29391

Step-4: Factors of 58787

List of positive integer factors of 58787 that divides 58782 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58782 and 58787. The biggest common factor number is the GCF number.
So the greatest common factor 58782 and 58787 is 1.

Also check out the Least Common Multiple of 58782 and 58787