What is the Greatest Common Factor of 95148 and 95152?

Greatest common factor (GCF) of 95148 and 95152 is 4.

GCF(95148,95152) = 4

We will now calculate the prime factors of 95148 and 95152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95148 and 95152.

How to find the GCF of 95148 and 95152?

We will first find the prime factorization of 95148 and 95152. After we will calculate the factors of 95148 and 95152 and find the biggest common factor number .

Step-1: Prime Factorization of 95148

Prime factors of 95148 are 2, 3, 881. Prime factorization of 95148 in exponential form is:

95148 = 2² × 3³ × 881¹

Step-2: Prime Factorization of 95152

Prime factors of 95152 are 2, 19, 313. Prime factorization of 95152 in exponential form is:

95152 = 2⁴ × 19¹ × 313¹

Step-3: Factors of 95148

List of positive integer factors of 95148 that divides 95148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 881, 1762, 2643, 3524, 5286, 7929, 10572, 15858, 23787, 31716, 47574

Step-4: Factors of 95152

List of positive integer factors of 95152 that divides 95148 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 313, 626, 1252, 2504, 5008, 5947, 11894, 23788, 47576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95148 and 95152. The biggest common factor number is the GCF number.
So the greatest common factor 95148 and 95152 is 4.

Also check out the Least Common Multiple of 95148 and 95152