What is the Greatest Common Factor of 58768 and 58780?

Greatest common factor (GCF) of 58768 and 58780 is 4.

GCF(58768,58780) = 4

We will now calculate the prime factors of 58768 and 58780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58768 and 58780.

How to find the GCF of 58768 and 58780?

We will first find the prime factorization of 58768 and 58780. After we will calculate the factors of 58768 and 58780 and find the biggest common factor number .

Step-1: Prime Factorization of 58768

Prime factors of 58768 are 2, 3673. Prime factorization of 58768 in exponential form is:

58768 = 2⁴ × 3673¹

Step-2: Prime Factorization of 58780

Prime factors of 58780 are 2, 5, 2939. Prime factorization of 58780 in exponential form is:

58780 = 2² × 5¹ × 2939¹

Step-3: Factors of 58768

List of positive integer factors of 58768 that divides 58768 without a remainder.

1, 2, 4, 8, 16, 3673, 7346, 14692, 29384

Step-4: Factors of 58780

List of positive integer factors of 58780 that divides 58768 without a remainder.

1, 2, 4, 5, 10, 20, 2939, 5878, 11756, 14695, 29390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58768 and 58780. The biggest common factor number is the GCF number.
So the greatest common factor 58768 and 58780 is 4.

Also check out the Least Common Multiple of 58768 and 58780