What is the Greatest Common Factor of 35552 and 35556?

Greatest common factor (GCF) of 35552 and 35556 is 4.

GCF(35552,35556) = 4

We will now calculate the prime factors of 35552 and 35556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35552 and 35556.

How to find the GCF of 35552 and 35556?

We will first find the prime factorization of 35552 and 35556. After we will calculate the factors of 35552 and 35556 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35556

Prime factors of 35556 are 2, 3, 2963. Prime factorization of 35556 in exponential form is:

35556 = 2² × 3¹ × 2963¹

Step-3: Factors of 35552

List of positive integer factors of 35552 that divides 35552 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

Step-4: Factors of 35556

List of positive integer factors of 35556 that divides 35552 without a remainder.

1, 2, 3, 4, 6, 12, 2963, 5926, 8889, 11852, 17778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35552 and 35556. The biggest common factor number is the GCF number.
So the greatest common factor 35552 and 35556 is 4.

Also check out the Least Common Multiple of 35552 and 35556