What is the Greatest Common Factor of 35538 and 35552?

Greatest common factor (GCF) of 35538 and 35552 is 2.

GCF(35538,35552) = 2

We will now calculate the prime factors of 35538 and 35552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35538 and 35552.

How to find the GCF of 35538 and 35552?

We will first find the prime factorization of 35538 and 35552. After we will calculate the factors of 35538 and 35552 and find the biggest common factor number .

Step-1: Prime Factorization of 35538

Prime factors of 35538 are 2, 3, 5923. Prime factorization of 35538 in exponential form is:

35538 = 2¹ × 3¹ × 5923¹

Step-2: Prime Factorization of 35552

Prime factors of 35552 are 2, 11, 101. Prime factorization of 35552 in exponential form is:

35552 = 2⁵ × 11¹ × 101¹

Step-3: Factors of 35538

List of positive integer factors of 35538 that divides 35538 without a remainder.

1, 2, 3, 6, 5923, 11846, 17769

Step-4: Factors of 35552

List of positive integer factors of 35552 that divides 35538 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 101, 176, 202, 352, 404, 808, 1111, 1616, 2222, 3232, 4444, 8888, 17776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35538 and 35552. The biggest common factor number is the GCF number.
So the greatest common factor 35538 and 35552 is 2.

Also check out the Least Common Multiple of 35538 and 35552