What is the Greatest Common Factor of 95970 and 95988?

Greatest common factor (GCF) of 95970 and 95988 is 6.

GCF(95970,95988) = 6

We will now calculate the prime factors of 95970 and 95988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95970 and 95988.

How to find the GCF of 95970 and 95988?

We will first find the prime factorization of 95970 and 95988. After we will calculate the factors of 95970 and 95988 and find the biggest common factor number .

Step-1: Prime Factorization of 95970

Prime factors of 95970 are 2, 3, 5, 7, 457. Prime factorization of 95970 in exponential form is:

95970 = 2¹ × 3¹ × 5¹ × 7¹ × 457¹

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 95970

List of positive integer factors of 95970 that divides 95970 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 457, 914, 1371, 2285, 2742, 3199, 4570, 6398, 6855, 9597, 13710, 15995, 19194, 31990, 47985

Step-4: Factors of 95988

List of positive integer factors of 95988 that divides 95970 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 95970 and 95988. The biggest common factor number is the GCF number.
So the greatest common factor 95970 and 95988 is 6.

Also check out the Least Common Multiple of 95970 and 95988