What is the Greatest Common Factor of 56870 and 56890?

Greatest common factor (GCF) of 56870 and 56890 is 10.

GCF(56870,56890) = 10

We will now calculate the prime factors of 56870 and 56890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56870 and 56890.

How to find the GCF of 56870 and 56890?

We will first find the prime factorization of 56870 and 56890. After we will calculate the factors of 56870 and 56890 and find the biggest common factor number .

Step-1: Prime Factorization of 56870

Prime factors of 56870 are 2, 5, 11, 47. Prime factorization of 56870 in exponential form is:

56870 = 2¹ × 5¹ × 11² × 47¹

Step-2: Prime Factorization of 56890

Prime factors of 56890 are 2, 5, 5689. Prime factorization of 56890 in exponential form is:

56890 = 2¹ × 5¹ × 5689¹

Step-3: Factors of 56870

List of positive integer factors of 56870 that divides 56870 without a remainder.

1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 121, 235, 242, 470, 517, 605, 1034, 1210, 2585, 5170, 5687, 11374, 28435

Step-4: Factors of 56890

List of positive integer factors of 56890 that divides 56870 without a remainder.

1, 2, 5, 10, 5689, 11378, 28445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56870 and 56890. The biggest common factor number is the GCF number.
So the greatest common factor 56870 and 56890 is 10.

Also check out the Least Common Multiple of 56870 and 56890