What is the Greatest Common Factor of 35552 and 35564?

Greatest common factor (GCF) of 35552 and 35564 is 4.

GCF(35552,35564) = 4

We will now calculate the prime factors of 35552 and 35564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35552 and 35564.

How to find the GCF of 35552 and 35564?

We will first find the prime factorization of 35552 and 35564. After we will calculate the factors of 35552 and 35564 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 35564

Prime factors of 35564 are 2, 17, 523. Prime factorization of 35564 in exponential form is:

35564 = 2² × 17¹ × 523¹

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 35564

List of positive integer factors of 35564 that divides 35552 without a remainder.

1, 2, 4, 17, 34, 68, 523, 1046, 2092, 8891, 17782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35552 and 35564. The biggest common factor number is the GCF number.
So the greatest common factor 35552 and 35564 is 4.

Also check out the Least Common Multiple of 35552 and 35564