What is the Greatest Common Factor of 58785 and 58802?

Greatest common factor (GCF) of 58785 and 58802 is 1.

GCF(58785,58802) = 1

We will now calculate the prime factors of 58785 and 58802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58785 and 58802.

How to find the GCF of 58785 and 58802?

We will first find the prime factorization of 58785 and 58802. After we will calculate the factors of 58785 and 58802 and find the biggest common factor number .

Step-1: Prime Factorization of 58785

Prime factors of 58785 are 3, 5, 3919. Prime factorization of 58785 in exponential form is:

58785 = 3¹ × 5¹ × 3919¹

Step-2: Prime Factorization of 58802

Prime factors of 58802 are 2, 29401. Prime factorization of 58802 in exponential form is:

58802 = 2¹ × 29401¹

Step-3: Factors of 58785

List of positive integer factors of 58785 that divides 58785 without a remainder.

1, 3, 5, 15, 3919, 11757, 19595

Step-4: Factors of 58802

List of positive integer factors of 58802 that divides 58785 without a remainder.

1, 2, 29401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58785 and 58802. The biggest common factor number is the GCF number.
So the greatest common factor 58785 and 58802 is 1.

Also check out the Least Common Multiple of 58785 and 58802