What is the Greatest Common Factor of 95872 and 95884?

Greatest common factor (GCF) of 95872 and 95884 is 4.

GCF(95872,95884) = 4

We will now calculate the prime factors of 95872 and 95884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95872 and 95884.

How to find the GCF of 95872 and 95884?

We will first find the prime factorization of 95872 and 95884. After we will calculate the factors of 95872 and 95884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95884

Prime factors of 95884 are 2, 23971. Prime factorization of 95884 in exponential form is:

95884 = 2² × 23971¹

Step-3: Factors of 95872

List of positive integer factors of 95872 that divides 95872 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

Step-4: Factors of 95884

List of positive integer factors of 95884 that divides 95872 without a remainder.

1, 2, 4, 23971, 47942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95872 and 95884. The biggest common factor number is the GCF number.
So the greatest common factor 95872 and 95884 is 4.

Also check out the Least Common Multiple of 95872 and 95884