What is the Greatest Common Factor of 57880 and 57890?

Greatest common factor (GCF) of 57880 and 57890 is 10.

GCF(57880,57890) = 10

We will now calculate the prime factors of 57880 and 57890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57880 and 57890.

How to find the GCF of 57880 and 57890?

We will first find the prime factorization of 57880 and 57890. After we will calculate the factors of 57880 and 57890 and find the biggest common factor number .

Step-1: Prime Factorization of 57880

Prime factors of 57880 are 2, 5, 1447. Prime factorization of 57880 in exponential form is:

57880 = 2³ × 5¹ × 1447¹

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 57880

List of positive integer factors of 57880 that divides 57880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1447, 2894, 5788, 7235, 11576, 14470, 28940

Step-4: Factors of 57890

List of positive integer factors of 57890 that divides 57880 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 57880 and 57890. The biggest common factor number is the GCF number.
So the greatest common factor 57880 and 57890 is 10.

Also check out the Least Common Multiple of 57880 and 57890