What is the Greatest Common Factor of 93738 and 93754?

Greatest common factor (GCF) of 93738 and 93754 is 2.

GCF(93738,93754) = 2

We will now calculate the prime factors of 93738 and 93754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93738 and 93754.

How to find the GCF of 93738 and 93754?

We will first find the prime factorization of 93738 and 93754. After we will calculate the factors of 93738 and 93754 and find the biggest common factor number .

Step-1: Prime Factorization of 93738

Prime factors of 93738 are 2, 3, 17, 919. Prime factorization of 93738 in exponential form is:

93738 = 2¹ × 3¹ × 17¹ × 919¹

Step-2: Prime Factorization of 93754

Prime factors of 93754 are 2, 46877. Prime factorization of 93754 in exponential form is:

93754 = 2¹ × 46877¹

Step-3: Factors of 93738

List of positive integer factors of 93738 that divides 93738 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 919, 1838, 2757, 5514, 15623, 31246, 46869

Step-4: Factors of 93754

List of positive integer factors of 93754 that divides 93738 without a remainder.

1, 2, 46877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93738 and 93754. The biggest common factor number is the GCF number.
So the greatest common factor 93738 and 93754 is 2.

Also check out the Least Common Multiple of 93738 and 93754