What is the Greatest Common Factor of 8525 and 8544?

Greatest common factor (GCF) of 8525 and 8544 is 1.

GCF(8525,8544) = 1

We will now calculate the prime factors of 8525 and 8544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8525 and 8544.

How to find the GCF of 8525 and 8544?

We will first find the prime factorization of 8525 and 8544. After we will calculate the factors of 8525 and 8544 and find the biggest common factor number .

Step-1: Prime Factorization of 8525

Prime factors of 8525 are 5, 11, 31. Prime factorization of 8525 in exponential form is:

8525 = 5² × 11¹ × 31¹

Step-2: Prime Factorization of 8544

Prime factors of 8544 are 2, 3, 89. Prime factorization of 8544 in exponential form is:

8544 = 2⁵ × 3¹ × 89¹

Step-3: Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705

Step-4: Factors of 8544

List of positive integer factors of 8544 that divides 8525 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8525 and 8544. The biggest common factor number is the GCF number.
So the greatest common factor 8525 and 8544 is 1.

Also check out the Least Common Multiple of 8525 and 8544