What is the Greatest Common Factor of 95856 and 95867?

Greatest common factor (GCF) of 95856 and 95867 is 1.

GCF(95856,95867) = 1

We will now calculate the prime factors of 95856 and 95867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95856 and 95867.

How to find the GCF of 95856 and 95867?

We will first find the prime factorization of 95856 and 95867. After we will calculate the factors of 95856 and 95867 and find the biggest common factor number .

Step-1: Prime Factorization of 95856

Prime factors of 95856 are 2, 3, 1997. Prime factorization of 95856 in exponential form is:

95856 = 2⁴ × 3¹ × 1997¹

Step-2: Prime Factorization of 95867

Prime factors of 95867 are 37, 2591. Prime factorization of 95867 in exponential form is:

95867 = 37¹ × 2591¹

Step-3: Factors of 95856

List of positive integer factors of 95856 that divides 95856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1997, 3994, 5991, 7988, 11982, 15976, 23964, 31952, 47928

Step-4: Factors of 95867

List of positive integer factors of 95867 that divides 95856 without a remainder.

1, 37, 2591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95856 and 95867. The biggest common factor number is the GCF number.
So the greatest common factor 95856 and 95867 is 1.

Also check out the Least Common Multiple of 95856 and 95867