What is the Greatest Common Factor of 35488 and 35508?

Greatest common factor (GCF) of 35488 and 35508 is 4.

GCF(35488,35508) = 4

We will now calculate the prime factors of 35488 and 35508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35488 and 35508.

How to find the GCF of 35488 and 35508?

We will first find the prime factorization of 35488 and 35508. After we will calculate the factors of 35488 and 35508 and find the biggest common factor number .

Step-1: Prime Factorization of 35488

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

35488 = 2⁵ × 1109¹

Step-2: Prime Factorization of 35508

Prime factors of 35508 are 2, 3, 11, 269. Prime factorization of 35508 in exponential form is:

35508 = 2² × 3¹ × 11¹ × 269¹

Step-3: Factors of 35488

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

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

Step-4: Factors of 35508

List of positive integer factors of 35508 that divides 35488 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 269, 538, 807, 1076, 1614, 2959, 3228, 5918, 8877, 11836, 17754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35488 and 35508. The biggest common factor number is the GCF number.
So the greatest common factor 35488 and 35508 is 4.

Also check out the Least Common Multiple of 35488 and 35508