What is the Greatest Common Factor of 35738 and 35753?

Greatest common factor (GCF) of 35738 and 35753 is 1.

GCF(35738,35753) = 1

We will now calculate the prime factors of 35738 and 35753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35738 and 35753.

How to find the GCF of 35738 and 35753?

We will first find the prime factorization of 35738 and 35753. After we will calculate the factors of 35738 and 35753 and find the biggest common factor number .

Step-1: Prime Factorization of 35738

Prime factors of 35738 are 2, 107, 167. Prime factorization of 35738 in exponential form is:

35738 = 2¹ × 107¹ × 167¹

Step-2: Prime Factorization of 35753

Prime factors of 35753 are 35753. Prime factorization of 35753 in exponential form is:

35753 = 35753¹

Step-3: Factors of 35738

List of positive integer factors of 35738 that divides 35738 without a remainder.

1, 2, 107, 167, 214, 334, 17869

Step-4: Factors of 35753

List of positive integer factors of 35753 that divides 35738 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35738 and 35753. The biggest common factor number is the GCF number.
So the greatest common factor 35738 and 35753 is 1.

Also check out the Least Common Multiple of 35738 and 35753