What is the Greatest Common Factor of 95368 and 95388?

Greatest common factor (GCF) of 95368 and 95388 is 4.

GCF(95368,95388) = 4

We will now calculate the prime factors of 95368 and 95388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95368 and 95388.

How to find the GCF of 95368 and 95388?

We will first find the prime factorization of 95368 and 95388. After we will calculate the factors of 95368 and 95388 and find the biggest common factor number .

Step-1: Prime Factorization of 95368

Prime factors of 95368 are 2, 7, 13, 131. Prime factorization of 95368 in exponential form is:

95368 = 2³ × 7¹ × 13¹ × 131¹

Step-2: Prime Factorization of 95388

Prime factors of 95388 are 2, 3, 7949. Prime factorization of 95388 in exponential form is:

95388 = 2² × 3¹ × 7949¹

Step-3: Factors of 95368

List of positive integer factors of 95368 that divides 95368 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 131, 182, 262, 364, 524, 728, 917, 1048, 1703, 1834, 3406, 3668, 6812, 7336, 11921, 13624, 23842, 47684

Step-4: Factors of 95388

List of positive integer factors of 95388 that divides 95368 without a remainder.

1, 2, 3, 4, 6, 12, 7949, 15898, 23847, 31796, 47694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95368 and 95388. The biggest common factor number is the GCF number.
So the greatest common factor 95368 and 95388 is 4.

Also check out the Least Common Multiple of 95368 and 95388