What is the Greatest Common Factor of 35544 and 35548?

Greatest common factor (GCF) of 35544 and 35548 is 4.

GCF(35544,35548) = 4

We will now calculate the prime factors of 35544 and 35548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35544 and 35548.

How to find the GCF of 35544 and 35548?

We will first find the prime factorization of 35544 and 35548. After we will calculate the factors of 35544 and 35548 and find the biggest common factor number .

Step-1: Prime Factorization of 35544

Prime factors of 35544 are 2, 3, 1481. Prime factorization of 35544 in exponential form is:

35544 = 2³ × 3¹ × 1481¹

Step-2: Prime Factorization of 35548

Prime factors of 35548 are 2, 8887. Prime factorization of 35548 in exponential form is:

35548 = 2² × 8887¹

Step-3: Factors of 35544

List of positive integer factors of 35544 that divides 35544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1481, 2962, 4443, 5924, 8886, 11848, 17772

Step-4: Factors of 35548

List of positive integer factors of 35548 that divides 35544 without a remainder.

1, 2, 4, 8887, 17774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35544 and 35548. The biggest common factor number is the GCF number.
So the greatest common factor 35544 and 35548 is 4.

Also check out the Least Common Multiple of 35544 and 35548