What is the Greatest Common Factor of 56840 and 56845?

Greatest common factor (GCF) of 56840 and 56845 is 5.

GCF(56840,56845) = 5

We will now calculate the prime factors of 56840 and 56845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56840 and 56845.

How to find the GCF of 56840 and 56845?

We will first find the prime factorization of 56840 and 56845. After we will calculate the factors of 56840 and 56845 and find the biggest common factor number .

Step-1: Prime Factorization of 56840

Prime factors of 56840 are 2, 5, 7, 29. Prime factorization of 56840 in exponential form is:

56840 = 2³ × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 56845

Prime factors of 56845 are 5, 11369. Prime factorization of 56845 in exponential form is:

56845 = 5¹ × 11369¹

Step-3: Factors of 56840

List of positive integer factors of 56840 that divides 56840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 49, 56, 58, 70, 98, 116, 140, 145, 196, 203, 232, 245, 280, 290, 392, 406, 490, 580, 812, 980, 1015, 1160, 1421, 1624, 1960, 2030, 2842, 4060, 5684, 7105, 8120, 11368, 14210, 28420

Step-4: Factors of 56845

List of positive integer factors of 56845 that divides 56840 without a remainder.

1, 5, 11369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56840 and 56845. The biggest common factor number is the GCF number.
So the greatest common factor 56840 and 56845 is 5.

Also check out the Least Common Multiple of 56840 and 56845