What is the Greatest Common Factor of 53552 and 53569?

Greatest common factor (GCF) of 53552 and 53569 is 1.

GCF(53552,53569) = 1

We will now calculate the prime factors of 53552 and 53569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53552 and 53569.

How to find the GCF of 53552 and 53569?

We will first find the prime factorization of 53552 and 53569. After we will calculate the factors of 53552 and 53569 and find the biggest common factor number .

Step-1: Prime Factorization of 53552

Prime factors of 53552 are 2, 3347. Prime factorization of 53552 in exponential form is:

53552 = 2⁴ × 3347¹

Step-2: Prime Factorization of 53569

Prime factors of 53569 are 53569. Prime factorization of 53569 in exponential form is:

53569 = 53569¹

Step-3: Factors of 53552

List of positive integer factors of 53552 that divides 53552 without a remainder.

1, 2, 4, 8, 16, 3347, 6694, 13388, 26776

Step-4: Factors of 53569

List of positive integer factors of 53569 that divides 53552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53552 and 53569. The biggest common factor number is the GCF number.
So the greatest common factor 53552 and 53569 is 1.

Also check out the Least Common Multiple of 53552 and 53569