What is the Greatest Common Factor of 35546 and 35552?

Greatest common factor (GCF) of 35546 and 35552 is 2.

GCF(35546,35552) = 2

We will now calculate the prime factors of 35546 and 35552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35546 and 35552.

How to find the GCF of 35546 and 35552?

We will first find the prime factorization of 35546 and 35552. After we will calculate the factors of 35546 and 35552 and find the biggest common factor number .

Step-1: Prime Factorization of 35546

Prime factors of 35546 are 2, 7, 2539. Prime factorization of 35546 in exponential form is:

35546 = 2¹ × 7¹ × 2539¹

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 35546

List of positive integer factors of 35546 that divides 35546 without a remainder.

1, 2, 7, 14, 2539, 5078, 17773

Step-4: Factors of 35552

List of positive integer factors of 35552 that divides 35546 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 35546 and 35552. The biggest common factor number is the GCF number.
So the greatest common factor 35546 and 35552 is 2.

Also check out the Least Common Multiple of 35546 and 35552