What is the Greatest Common Factor of 57870 and 57890?

Greatest common factor (GCF) of 57870 and 57890 is 10.

GCF(57870,57890) = 10

We will now calculate the prime factors of 57870 and 57890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57870 and 57890.

How to find the GCF of 57870 and 57890?

We will first find the prime factorization of 57870 and 57890. After we will calculate the factors of 57870 and 57890 and find the biggest common factor number .

Step-1: Prime Factorization of 57870

Prime factors of 57870 are 2, 3, 5, 643. Prime factorization of 57870 in exponential form is:

57870 = 2¹ × 3² × 5¹ × 643¹

Step-2: Prime Factorization of 57890

Prime factors of 57890 are 2, 5, 7, 827. Prime factorization of 57890 in exponential form is:

57890 = 2¹ × 5¹ × 7¹ × 827¹

Step-3: Factors of 57870

List of positive integer factors of 57870 that divides 57870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 643, 1286, 1929, 3215, 3858, 5787, 6430, 9645, 11574, 19290, 28935

Step-4: Factors of 57890

List of positive integer factors of 57890 that divides 57870 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 827, 1654, 4135, 5789, 8270, 11578, 28945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57870 and 57890. The biggest common factor number is the GCF number.
So the greatest common factor 57870 and 57890 is 10.

Also check out the Least Common Multiple of 57870 and 57890