What is the Greatest Common Factor of 95824 and 95842?

Greatest common factor (GCF) of 95824 and 95842 is 2.

GCF(95824,95842) = 2

We will now calculate the prime factors of 95824 and 95842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95824 and 95842.

How to find the GCF of 95824 and 95842?

We will first find the prime factorization of 95824 and 95842. After we will calculate the factors of 95824 and 95842 and find the biggest common factor number .

Step-1: Prime Factorization of 95824

Prime factors of 95824 are 2, 53, 113. Prime factorization of 95824 in exponential form is:

95824 = 2⁴ × 53¹ × 113¹

Step-2: 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-3: Factors of 95824

List of positive integer factors of 95824 that divides 95824 without a remainder.

1, 2, 4, 8, 16, 53, 106, 113, 212, 226, 424, 452, 848, 904, 1808, 5989, 11978, 23956, 47912

Step-4: Factors of 95842

List of positive integer factors of 95842 that divides 95824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95824 and 95842. The biggest common factor number is the GCF number.
So the greatest common factor 95824 and 95842 is 2.

Also check out the Least Common Multiple of 95824 and 95842