What is the Greatest Common Factor of 85248 and 85253?

Greatest common factor (GCF) of 85248 and 85253 is 1.

GCF(85248,85253) = 1

We will now calculate the prime factors of 85248 and 85253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85248 and 85253.

How to find the GCF of 85248 and 85253?

We will first find the prime factorization of 85248 and 85253. After we will calculate the factors of 85248 and 85253 and find the biggest common factor number .

Step-1: Prime Factorization of 85248

Prime factors of 85248 are 2, 3, 37. Prime factorization of 85248 in exponential form is:

85248 = 2⁸ × 3² × 37¹

Step-2: Prime Factorization of 85253

Prime factors of 85253 are 7, 19, 641. Prime factorization of 85253 in exponential form is:

85253 = 7¹ × 19¹ × 641¹

Step-3: Factors of 85248

List of positive integer factors of 85248 that divides 85248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64, 72, 74, 96, 111, 128, 144, 148, 192, 222, 256, 288, 296, 333, 384, 444, 576, 592, 666, 768, 888, 1152, 1184, 1332, 1776, 2304, 2368, 2664, 3552, 4736, 5328, 7104, 9472, 10656, 14208, 21312, 28416, 42624

Step-4: Factors of 85253

List of positive integer factors of 85253 that divides 85248 without a remainder.

1, 7, 19, 133, 641, 4487, 12179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85248 and 85253. The biggest common factor number is the GCF number.
So the greatest common factor 85248 and 85253 is 1.

Also check out the Least Common Multiple of 85248 and 85253