What is the Greatest Common Factor of 35540 and 35552?

Greatest common factor (GCF) of 35540 and 35552 is 4.

GCF(35540,35552) = 4

We will now calculate the prime factors of 35540 and 35552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35540 and 35552.

How to find the GCF of 35540 and 35552?

We will first find the prime factorization of 35540 and 35552. After we will calculate the factors of 35540 and 35552 and find the biggest common factor number .

Step-1: Prime Factorization of 35540

Prime factors of 35540 are 2, 5, 1777. Prime factorization of 35540 in exponential form is:

35540 = 2² × 5¹ × 1777¹

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 35540

List of positive integer factors of 35540 that divides 35540 without a remainder.

1, 2, 4, 5, 10, 20, 1777, 3554, 7108, 8885, 17770

Step-4: Factors of 35552

List of positive integer factors of 35552 that divides 35540 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 35540 and 35552. The biggest common factor number is the GCF number.
So the greatest common factor 35540 and 35552 is 4.

Also check out the Least Common Multiple of 35540 and 35552