What is the Greatest Common Factor of 95648 and 95658?

Greatest common factor (GCF) of 95648 and 95658 is 2.

GCF(95648,95658) = 2

We will now calculate the prime factors of 95648 and 95658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95648 and 95658.

How to find the GCF of 95648 and 95658?

We will first find the prime factorization of 95648 and 95658. After we will calculate the factors of 95648 and 95658 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 95658

Prime factors of 95658 are 2, 3, 107, 149. Prime factorization of 95658 in exponential form is:

95658 = 2¹ × 3¹ × 107¹ × 149¹

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 95658

List of positive integer factors of 95658 that divides 95648 without a remainder.

1, 2, 3, 6, 107, 149, 214, 298, 321, 447, 642, 894, 15943, 31886, 47829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95648 and 95658. The biggest common factor number is the GCF number.
So the greatest common factor 95648 and 95658 is 2.

Also check out the Least Common Multiple of 95648 and 95658