What is the Greatest Common Factor of 95964 and 95984?

Greatest common factor (GCF) of 95964 and 95984 is 4.

GCF(95964,95984) = 4

We will now calculate the prime factors of 95964 and 95984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95964 and 95984.

How to find the GCF of 95964 and 95984?

We will first find the prime factorization of 95964 and 95984. After we will calculate the factors of 95964 and 95984 and find the biggest common factor number .

Step-1: Prime Factorization of 95964

Prime factors of 95964 are 2, 3, 11, 727. Prime factorization of 95964 in exponential form is:

95964 = 2² × 3¹ × 11¹ × 727¹

Step-2: Prime Factorization of 95984

Prime factors of 95984 are 2, 7, 857. Prime factorization of 95984 in exponential form is:

95984 = 2⁴ × 7¹ × 857¹

Step-3: Factors of 95964

List of positive integer factors of 95964 that divides 95964 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 727, 1454, 2181, 2908, 4362, 7997, 8724, 15994, 23991, 31988, 47982

Step-4: Factors of 95984

List of positive integer factors of 95984 that divides 95964 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 857, 1714, 3428, 5999, 6856, 11998, 13712, 23996, 47992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95964 and 95984. The biggest common factor number is the GCF number.
So the greatest common factor 95964 and 95984 is 4.

Also check out the Least Common Multiple of 95964 and 95984