What is the Greatest Common Factor of 93758 and 93765?

Greatest common factor (GCF) of 93758 and 93765 is 7.

GCF(93758,93765) = 7

We will now calculate the prime factors of 93758 and 93765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93758 and 93765.

How to find the GCF of 93758 and 93765?

We will first find the prime factorization of 93758 and 93765. After we will calculate the factors of 93758 and 93765 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93765

Prime factors of 93765 are 3, 5, 7, 19, 47. Prime factorization of 93765 in exponential form is:

93765 = 3¹ × 5¹ × 7¹ × 19¹ × 47¹

Step-3: Factors of 93758

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

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

Step-4: Factors of 93765

List of positive integer factors of 93765 that divides 93758 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 47, 57, 95, 105, 133, 141, 235, 285, 329, 399, 665, 705, 893, 987, 1645, 1995, 2679, 4465, 4935, 6251, 13395, 18753, 31255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93758 and 93765. The biggest common factor number is the GCF number.
So the greatest common factor 93758 and 93765 is 7.

Also check out the Least Common Multiple of 93758 and 93765