What is the Greatest Common Factor of 95868 and 95872?

Greatest common factor (GCF) of 95868 and 95872 is 4.

GCF(95868,95872) = 4

We will now calculate the prime factors of 95868 and 95872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95868 and 95872.

How to find the GCF of 95868 and 95872?

We will first find the prime factorization of 95868 and 95872. After we will calculate the factors of 95868 and 95872 and find the biggest common factor number .

Step-1: Prime Factorization of 95868

Prime factors of 95868 are 2, 3, 2663. Prime factorization of 95868 in exponential form is:

95868 = 2² × 3² × 2663¹

Step-2: Prime Factorization of 95872

Prime factors of 95872 are 2, 7, 107. Prime factorization of 95872 in exponential form is:

95872 = 2⁷ × 7¹ × 107¹

Step-3: Factors of 95868

List of positive integer factors of 95868 that divides 95868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2663, 5326, 7989, 10652, 15978, 23967, 31956, 47934

Step-4: Factors of 95872

List of positive integer factors of 95872 that divides 95868 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 107, 112, 128, 214, 224, 428, 448, 749, 856, 896, 1498, 1712, 2996, 3424, 5992, 6848, 11984, 13696, 23968, 47936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95868 and 95872. The biggest common factor number is the GCF number.
So the greatest common factor 95868 and 95872 is 4.

Also check out the Least Common Multiple of 95868 and 95872