What is the Greatest Common Factor of 95842 and 95856?

Greatest common factor (GCF) of 95842 and 95856 is 2.

GCF(95842,95856) = 2

We will now calculate the prime factors of 95842 and 95856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95842 and 95856.

How to find the GCF of 95842 and 95856?

We will first find the prime factorization of 95842 and 95856. After we will calculate the factors of 95842 and 95856 and find the biggest common factor number .

Step-1: Prime Factorization of 95842

Prime factors of 95842 are 2, 173, 277. Prime factorization of 95842 in exponential form is:

95842 = 2¹ × 173¹ × 277¹

Step-2: 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-3: Factors of 95842

List of positive integer factors of 95842 that divides 95842 without a remainder.

1, 2, 173, 277, 346, 554, 47921

Step-4: Factors of 95856

List of positive integer factors of 95856 that divides 95842 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95842 and 95856. The biggest common factor number is the GCF number.
So the greatest common factor 95842 and 95856 is 2.

Also check out the Least Common Multiple of 95842 and 95856