What is the Greatest Common Factor of 35774 and 35780?

Greatest common factor (GCF) of 35774 and 35780 is 2.

GCF(35774,35780) = 2

We will now calculate the prime factors of 35774 and 35780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35774 and 35780.

How to find the GCF of 35774 and 35780?

We will first find the prime factorization of 35774 and 35780. After we will calculate the factors of 35774 and 35780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35780

Prime factors of 35780 are 2, 5, 1789. Prime factorization of 35780 in exponential form is:

35780 = 2² × 5¹ × 1789¹

Step-3: Factors of 35774

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

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

Step-4: Factors of 35780

List of positive integer factors of 35780 that divides 35774 without a remainder.

1, 2, 4, 5, 10, 20, 1789, 3578, 7156, 8945, 17890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35774 and 35780. The biggest common factor number is the GCF number.
So the greatest common factor 35774 and 35780 is 2.

Also check out the Least Common Multiple of 35774 and 35780