What is the Greatest Common Factor of 58772 and 58778?

Greatest common factor (GCF) of 58772 and 58778 is 2.

GCF(58772,58778) = 2

We will now calculate the prime factors of 58772 and 58778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58772 and 58778.

How to find the GCF of 58772 and 58778?

We will first find the prime factorization of 58772 and 58778. After we will calculate the factors of 58772 and 58778 and find the biggest common factor number .

Step-1: Prime Factorization of 58772

Prime factors of 58772 are 2, 7, 2099. Prime factorization of 58772 in exponential form is:

58772 = 2² × 7¹ × 2099¹

Step-2: Prime Factorization of 58778

Prime factors of 58778 are 2, 29389. Prime factorization of 58778 in exponential form is:

58778 = 2¹ × 29389¹

Step-3: Factors of 58772

List of positive integer factors of 58772 that divides 58772 without a remainder.

1, 2, 4, 7, 14, 28, 2099, 4198, 8396, 14693, 29386

Step-4: Factors of 58778

List of positive integer factors of 58778 that divides 58772 without a remainder.

1, 2, 29389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58772 and 58778. The biggest common factor number is the GCF number.
So the greatest common factor 58772 and 58778 is 2.

Also check out the Least Common Multiple of 58772 and 58778