What is the Greatest Common Factor of 35738 and 35749?

Greatest common factor (GCF) of 35738 and 35749 is 1.

GCF(35738,35749) = 1

We will now calculate the prime factors of 35738 and 35749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35738 and 35749.

How to find the GCF of 35738 and 35749?

We will first find the prime factorization of 35738 and 35749. After we will calculate the factors of 35738 and 35749 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 35749

Prime factors of 35749 are 7, 5107. Prime factorization of 35749 in exponential form is:

35749 = 7¹ × 5107¹

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 35749

List of positive integer factors of 35749 that divides 35738 without a remainder.

1, 7, 5107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35738 and 35749. The biggest common factor number is the GCF number.
So the greatest common factor 35738 and 35749 is 1.

Also check out the Least Common Multiple of 35738 and 35749