What is the Greatest Common Factor of 35754 and 35774?

Greatest common factor (GCF) of 35754 and 35774 is 2.

GCF(35754,35774) = 2

We will now calculate the prime factors of 35754 and 35774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35754 and 35774.

How to find the GCF of 35754 and 35774?

We will first find the prime factorization of 35754 and 35774. After we will calculate the factors of 35754 and 35774 and find the biggest common factor number .

Step-1: Prime Factorization of 35754

Prime factors of 35754 are 2, 3, 59, 101. Prime factorization of 35754 in exponential form is:

35754 = 2¹ × 3¹ × 59¹ × 101¹

Step-2: Prime Factorization of 35774

Prime factors of 35774 are 2, 31, 577. Prime factorization of 35774 in exponential form is:

35774 = 2¹ × 31¹ × 577¹

Step-3: Factors of 35754

List of positive integer factors of 35754 that divides 35754 without a remainder.

1, 2, 3, 6, 59, 101, 118, 177, 202, 303, 354, 606, 5959, 11918, 17877

Step-4: Factors of 35774

List of positive integer factors of 35774 that divides 35754 without a remainder.

1, 2, 31, 62, 577, 1154, 17887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35754 and 35774. The biggest common factor number is the GCF number.
So the greatest common factor 35754 and 35774 is 2.

Also check out the Least Common Multiple of 35754 and 35774