What is the Greatest Common Factor of 93975 and 93984?

Greatest common factor (GCF) of 93975 and 93984 is 3.

GCF(93975,93984) = 3

We will now calculate the prime factors of 93975 and 93984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93975 and 93984.

How to find the GCF of 93975 and 93984?

We will first find the prime factorization of 93975 and 93984. After we will calculate the factors of 93975 and 93984 and find the biggest common factor number .

Step-1: Prime Factorization of 93975

Prime factors of 93975 are 3, 5, 7, 179. Prime factorization of 93975 in exponential form is:

93975 = 3¹ × 5² × 7¹ × 179¹

Step-2: Prime Factorization of 93984

Prime factors of 93984 are 2, 3, 11, 89. Prime factorization of 93984 in exponential form is:

93984 = 2⁵ × 3¹ × 11¹ × 89¹

Step-3: Factors of 93975

List of positive integer factors of 93975 that divides 93975 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 179, 525, 537, 895, 1253, 2685, 3759, 4475, 6265, 13425, 18795, 31325

Step-4: Factors of 93984

List of positive integer factors of 93984 that divides 93975 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 89, 96, 132, 176, 178, 264, 267, 352, 356, 528, 534, 712, 979, 1056, 1068, 1424, 1958, 2136, 2848, 2937, 3916, 4272, 5874, 7832, 8544, 11748, 15664, 23496, 31328, 46992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93975 and 93984. The biggest common factor number is the GCF number.
So the greatest common factor 93975 and 93984 is 3.

Also check out the Least Common Multiple of 93975 and 93984