What is the Greatest Common Factor of 57248 and 57253?

Greatest common factor (GCF) of 57248 and 57253 is 1.

GCF(57248,57253) = 1

We will now calculate the prime factors of 57248 and 57253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57248 and 57253.

How to find the GCF of 57248 and 57253?

We will first find the prime factorization of 57248 and 57253. After we will calculate the factors of 57248 and 57253 and find the biggest common factor number .

Step-1: Prime Factorization of 57248

Prime factors of 57248 are 2, 1789. Prime factorization of 57248 in exponential form is:

57248 = 2⁵ × 1789¹

Step-2: Prime Factorization of 57253

Prime factors of 57253 are 7, 8179. Prime factorization of 57253 in exponential form is:

57253 = 7¹ × 8179¹

Step-3: Factors of 57248

List of positive integer factors of 57248 that divides 57248 without a remainder.

1, 2, 4, 8, 16, 32, 1789, 3578, 7156, 14312, 28624

Step-4: Factors of 57253

List of positive integer factors of 57253 that divides 57248 without a remainder.

1, 7, 8179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57248 and 57253. The biggest common factor number is the GCF number.
So the greatest common factor 57248 and 57253 is 1.

Also check out the Least Common Multiple of 57248 and 57253