What is the Greatest Common Factor of 33536 and 33553?

Greatest common factor (GCF) of 33536 and 33553 is 1.

GCF(33536,33553) = 1

We will now calculate the prime factors of 33536 and 33553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33536 and 33553.

How to find the GCF of 33536 and 33553?

We will first find the prime factorization of 33536 and 33553. After we will calculate the factors of 33536 and 33553 and find the biggest common factor number .

Step-1: Prime Factorization of 33536

Prime factors of 33536 are 2, 131. Prime factorization of 33536 in exponential form is:

33536 = 2⁸ × 131¹

Step-2: Prime Factorization of 33553

Prime factors of 33553 are 13, 29, 89. Prime factorization of 33553 in exponential form is:

33553 = 13¹ × 29¹ × 89¹

Step-3: Factors of 33536

List of positive integer factors of 33536 that divides 33536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 524, 1048, 2096, 4192, 8384, 16768

Step-4: Factors of 33553

List of positive integer factors of 33553 that divides 33536 without a remainder.

1, 13, 29, 89, 377, 1157, 2581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33536 and 33553. The biggest common factor number is the GCF number.
So the greatest common factor 33536 and 33553 is 1.

Also check out the Least Common Multiple of 33536 and 33553