What is the Greatest Common Factor of 95632 and 95648?

Greatest common factor (GCF) of 95632 and 95648 is 16.

GCF(95632,95648) = 16

We will now calculate the prime factors of 95632 and 95648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95632 and 95648.

How to find the GCF of 95632 and 95648?

We will first find the prime factorization of 95632 and 95648. After we will calculate the factors of 95632 and 95648 and find the biggest common factor number .

Step-1: Prime Factorization of 95632

Prime factors of 95632 are 2, 43, 139. Prime factorization of 95632 in exponential form is:

95632 = 2⁴ × 43¹ × 139¹

Step-2: 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-3: Factors of 95632

List of positive integer factors of 95632 that divides 95632 without a remainder.

1, 2, 4, 8, 16, 43, 86, 139, 172, 278, 344, 556, 688, 1112, 2224, 5977, 11954, 23908, 47816

Step-4: Factors of 95648

List of positive integer factors of 95648 that divides 95632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95632 and 95648. The biggest common factor number is the GCF number.
So the greatest common factor 95632 and 95648 is 16.

Also check out the Least Common Multiple of 95632 and 95648