What is the Greatest Common Factor of 35472 and 35488?

Greatest common factor (GCF) of 35472 and 35488 is 16.

GCF(35472,35488) = 16

We will now calculate the prime factors of 35472 and 35488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35472 and 35488.

How to find the GCF of 35472 and 35488?

We will first find the prime factorization of 35472 and 35488. After we will calculate the factors of 35472 and 35488 and find the biggest common factor number .

Step-1: Prime Factorization of 35472

Prime factors of 35472 are 2, 3, 739. Prime factorization of 35472 in exponential form is:

35472 = 2⁴ × 3¹ × 739¹

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 35472

List of positive integer factors of 35472 that divides 35472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736

Step-4: Factors of 35488

List of positive integer factors of 35488 that divides 35472 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 35472 and 35488. The biggest common factor number is the GCF number.
So the greatest common factor 35472 and 35488 is 16.

Also check out the Least Common Multiple of 35472 and 35488