What is the Greatest Common Factor of 35754 and 35765?

Greatest common factor (GCF) of 35754 and 35765 is 1.

GCF(35754,35765) = 1

We will now calculate the prime factors of 35754 and 35765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35754 and 35765.

How to find the GCF of 35754 and 35765?

We will first find the prime factorization of 35754 and 35765. After we will calculate the factors of 35754 and 35765 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 35765

Prime factors of 35765 are 5, 23, 311. Prime factorization of 35765 in exponential form is:

35765 = 5¹ × 23¹ × 311¹

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 35765

List of positive integer factors of 35765 that divides 35754 without a remainder.

1, 5, 23, 115, 311, 1555, 7153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35754 and 35765. The biggest common factor number is the GCF number.
So the greatest common factor 35754 and 35765 is 1.

Also check out the Least Common Multiple of 35754 and 35765