What is the Greatest Common Factor of 57862 and 57869?

Greatest common factor (GCF) of 57862 and 57869 is 7.

GCF(57862,57869) = 7

We will now calculate the prime factors of 57862 and 57869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57862 and 57869.

How to find the GCF of 57862 and 57869?

We will first find the prime factorization of 57862 and 57869. After we will calculate the factors of 57862 and 57869 and find the biggest common factor number .

Step-1: Prime Factorization of 57862

Prime factors of 57862 are 2, 7, 4133. Prime factorization of 57862 in exponential form is:

57862 = 2¹ × 7¹ × 4133¹

Step-2: Prime Factorization of 57869

Prime factors of 57869 are 7, 1181. Prime factorization of 57869 in exponential form is:

57869 = 7² × 1181¹

Step-3: Factors of 57862

List of positive integer factors of 57862 that divides 57862 without a remainder.

1, 2, 7, 14, 4133, 8266, 28931

Step-4: Factors of 57869

List of positive integer factors of 57869 that divides 57862 without a remainder.

1, 7, 49, 1181, 8267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57862 and 57869. The biggest common factor number is the GCF number.
So the greatest common factor 57862 and 57869 is 7.

Also check out the Least Common Multiple of 57862 and 57869