What is the Greatest Common Factor of 93750 and 93758?

Greatest common factor (GCF) of 93750 and 93758 is 2.

GCF(93750,93758) = 2

We will now calculate the prime factors of 93750 and 93758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93750 and 93758.

How to find the GCF of 93750 and 93758?

We will first find the prime factorization of 93750 and 93758. After we will calculate the factors of 93750 and 93758 and find the biggest common factor number .

Step-1: Prime Factorization of 93750

Prime factors of 93750 are 2, 3, 5. Prime factorization of 93750 in exponential form is:

93750 = 2¹ × 3¹ × 5⁶

Step-2: Prime Factorization of 93758

Prime factors of 93758 are 2, 7, 37, 181. Prime factorization of 93758 in exponential form is:

93758 = 2¹ × 7¹ × 37¹ × 181¹

Step-3: Factors of 93750

List of positive integer factors of 93750 that divides 93750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3125, 3750, 6250, 9375, 15625, 18750, 31250, 46875

Step-4: Factors of 93758

List of positive integer factors of 93758 that divides 93750 without a remainder.

1, 2, 7, 14, 37, 74, 181, 259, 362, 518, 1267, 2534, 6697, 13394, 46879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93750 and 93758. The biggest common factor number is the GCF number.
So the greatest common factor 93750 and 93758 is 2.

Also check out the Least Common Multiple of 93750 and 93758