What is the Greatest Common Factor of 95628 and 95648?

Greatest common factor (GCF) of 95628 and 95648 is 4.

GCF(95628,95648) = 4

We will now calculate the prime factors of 95628 and 95648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95628 and 95648.

How to find the GCF of 95628 and 95648?

We will first find the prime factorization of 95628 and 95648. After we will calculate the factors of 95628 and 95648 and find the biggest common factor number .

Step-1: Prime Factorization of 95628

Prime factors of 95628 are 2, 3, 13, 613. Prime factorization of 95628 in exponential form is:

95628 = 2² × 3¹ × 13¹ × 613¹

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 95628

List of positive integer factors of 95628 that divides 95628 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 613, 1226, 1839, 2452, 3678, 7356, 7969, 15938, 23907, 31876, 47814

Step-4: Factors of 95648

List of positive integer factors of 95648 that divides 95628 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 95628 and 95648. The biggest common factor number is the GCF number.
So the greatest common factor 95628 and 95648 is 4.

Also check out the Least Common Multiple of 95628 and 95648