What is the Greatest Common Factor of 95648 and 95656?

Greatest common factor (GCF) of 95648 and 95656 is 8.

GCF(95648,95656) = 8

We will now calculate the prime factors of 95648 and 95656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95648 and 95656.

How to find the GCF of 95648 and 95656?

We will first find the prime factorization of 95648 and 95656. After we will calculate the factors of 95648 and 95656 and find the biggest common factor number .

Step-1: Prime Factorization of 95648

Prime factors of 95648 are 2, 7, 61. Prime factorization of 95648 in exponential form is:

95648 = 2⁵ × 7² × 61¹

Step-2: Prime Factorization of 95656

Prime factors of 95656 are 2, 11, 1087. Prime factorization of 95656 in exponential form is:

95656 = 2³ × 11¹ × 1087¹

Step-3: Factors of 95648

List of positive integer factors of 95648 that divides 95648 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 61, 98, 112, 122, 196, 224, 244, 392, 427, 488, 784, 854, 976, 1568, 1708, 1952, 2989, 3416, 5978, 6832, 11956, 13664, 23912, 47824

Step-4: Factors of 95656

List of positive integer factors of 95656 that divides 95648 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1087, 2174, 4348, 8696, 11957, 23914, 47828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95648 and 95656. The biggest common factor number is the GCF number.
So the greatest common factor 95648 and 95656 is 8.

Also check out the Least Common Multiple of 95648 and 95656