What is the Greatest Common Factor of 35474 and 35488?

Greatest common factor (GCF) of 35474 and 35488 is 2.

GCF(35474,35488) = 2

We will now calculate the prime factors of 35474 and 35488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35474 and 35488.

How to find the GCF of 35474 and 35488?

We will first find the prime factorization of 35474 and 35488. After we will calculate the factors of 35474 and 35488 and find the biggest common factor number .

Step-1: Prime Factorization of 35474

Prime factors of 35474 are 2, 17737. Prime factorization of 35474 in exponential form is:

35474 = 2¹ × 17737¹

Step-2: Prime Factorization of 35488

Prime factors of 35488 are 2, 1109. Prime factorization of 35488 in exponential form is:

35488 = 2⁵ × 1109¹

Step-3: Factors of 35474

List of positive integer factors of 35474 that divides 35474 without a remainder.

1, 2, 17737

Step-4: Factors of 35488

List of positive integer factors of 35488 that divides 35474 without a remainder.

1, 2, 4, 8, 16, 32, 1109, 2218, 4436, 8872, 17744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35474 and 35488. The biggest common factor number is the GCF number.
So the greatest common factor 35474 and 35488 is 2.

Also check out the Least Common Multiple of 35474 and 35488