What is the Greatest Common Factor of 95842 and 95852?

Greatest common factor (GCF) of 95842 and 95852 is 2.

GCF(95842,95852) = 2

We will now calculate the prime factors of 95842 and 95852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95842 and 95852.

How to find the GCF of 95842 and 95852?

We will first find the prime factorization of 95842 and 95852. After we will calculate the factors of 95842 and 95852 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 95852

Prime factors of 95852 are 2, 31, 773. Prime factorization of 95852 in exponential form is:

95852 = 2² × 31¹ × 773¹

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 95852

List of positive integer factors of 95852 that divides 95842 without a remainder.

1, 2, 4, 31, 62, 124, 773, 1546, 3092, 23963, 47926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95842 and 95852. The biggest common factor number is the GCF number.
So the greatest common factor 95842 and 95852 is 2.

Also check out the Least Common Multiple of 95842 and 95852