What is the Greatest Common Factor of 75857 and 75868?

Greatest common factor (GCF) of 75857 and 75868 is 1.

GCF(75857,75868) = 1

We will now calculate the prime factors of 75857 and 75868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75857 and 75868.

How to find the GCF of 75857 and 75868?

We will first find the prime factorization of 75857 and 75868. After we will calculate the factors of 75857 and 75868 and find the biggest common factor number .

Step-1: Prime Factorization of 75857

Prime factors of 75857 are 31, 2447. Prime factorization of 75857 in exponential form is:

75857 = 31¹ × 2447¹

Step-2: Prime Factorization of 75868

Prime factors of 75868 are 2, 13, 1459. Prime factorization of 75868 in exponential form is:

75868 = 2² × 13¹ × 1459¹

Step-3: Factors of 75857

List of positive integer factors of 75857 that divides 75857 without a remainder.

1, 31, 2447

Step-4: Factors of 75868

List of positive integer factors of 75868 that divides 75857 without a remainder.

1, 2, 4, 13, 26, 52, 1459, 2918, 5836, 18967, 37934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75857 and 75868. The biggest common factor number is the GCF number.
So the greatest common factor 75857 and 75868 is 1.

Also check out the Least Common Multiple of 75857 and 75868