What is the Greatest Common Factor of 95984 and 95988?

Greatest common factor (GCF) of 95984 and 95988 is 4.

GCF(95984,95988) = 4

We will now calculate the prime factors of 95984 and 95988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95984 and 95988.

How to find the GCF of 95984 and 95988?

We will first find the prime factorization of 95984 and 95988. After we will calculate the factors of 95984 and 95988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95988

Prime factors of 95988 are 2, 3, 19, 421. Prime factorization of 95988 in exponential form is:

95988 = 2² × 3¹ × 19¹ × 421¹

Step-3: Factors of 95984

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

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

Step-4: Factors of 95988

List of positive integer factors of 95988 that divides 95984 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 421, 842, 1263, 1684, 2526, 5052, 7999, 15998, 23997, 31996, 47994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95984 and 95988. The biggest common factor number is the GCF number.
So the greatest common factor 95984 and 95988 is 4.

Also check out the Least Common Multiple of 95984 and 95988