What is the Greatest Common Factor of 57890 and 57910?

Greatest common factor (GCF) of 57890 and 57910 is 10.

GCF(57890,57910) = 10

We will now calculate the prime factors of 57890 and 57910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57890 and 57910.

How to find the GCF of 57890 and 57910?

We will first find the prime factorization of 57890 and 57910. After we will calculate the factors of 57890 and 57910 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57910

Prime factors of 57910 are 2, 5, 5791. Prime factorization of 57910 in exponential form is:

57910 = 2¹ × 5¹ × 5791¹

Step-3: Factors of 57890

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

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

Step-4: Factors of 57910

List of positive integer factors of 57910 that divides 57890 without a remainder.

1, 2, 5, 10, 5791, 11582, 28955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57890 and 57910. The biggest common factor number is the GCF number.
So the greatest common factor 57890 and 57910 is 10.

Also check out the Least Common Multiple of 57890 and 57910