What is the Greatest Common Factor of 35508 and 35528?

Greatest common factor (GCF) of 35508 and 35528 is 4.

GCF(35508,35528) = 4

We will now calculate the prime factors of 35508 and 35528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35508 and 35528.

How to find the GCF of 35508 and 35528?

We will first find the prime factorization of 35508 and 35528. After we will calculate the factors of 35508 and 35528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35528

Prime factors of 35528 are 2, 4441. Prime factorization of 35528 in exponential form is:

35528 = 2³ × 4441¹

Step-3: Factors of 35508

List of positive integer factors of 35508 that divides 35508 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

Step-4: Factors of 35528

List of positive integer factors of 35528 that divides 35508 without a remainder.

1, 2, 4, 8, 4441, 8882, 17764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35508 and 35528. The biggest common factor number is the GCF number.
So the greatest common factor 35508 and 35528 is 4.

Also check out the Least Common Multiple of 35508 and 35528