What is the Greatest Common Factor of 95148 and 95164?

Greatest common factor (GCF) of 95148 and 95164 is 4.

GCF(95148,95164) = 4

We will now calculate the prime factors of 95148 and 95164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95148 and 95164.

How to find the GCF of 95148 and 95164?

We will first find the prime factorization of 95148 and 95164. After we will calculate the factors of 95148 and 95164 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 95164

Prime factors of 95164 are 2, 37, 643. Prime factorization of 95164 in exponential form is:

95164 = 2² × 37¹ × 643¹

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 95164

List of positive integer factors of 95164 that divides 95148 without a remainder.

1, 2, 4, 37, 74, 148, 643, 1286, 2572, 23791, 47582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95148 and 95164. The biggest common factor number is the GCF number.
So the greatest common factor 95148 and 95164 is 4.

Also check out the Least Common Multiple of 95148 and 95164