What is the Greatest Common Factor of 8525 and 8542?

Greatest common factor (GCF) of 8525 and 8542 is 1.

GCF(8525,8542) = 1

We will now calculate the prime factors of 8525 and 8542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8525 and 8542.

How to find the GCF of 8525 and 8542?

We will first find the prime factorization of 8525 and 8542. After we will calculate the factors of 8525 and 8542 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 8542

Prime factors of 8542 are 2, 4271. Prime factorization of 8542 in exponential form is:

8542 = 2¹ × 4271¹

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 8542

List of positive integer factors of 8542 that divides 8525 without a remainder.

1, 2, 4271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8525 and 8542. The biggest common factor number is the GCF number.
So the greatest common factor 8525 and 8542 is 1.

Also check out the Least Common Multiple of 8525 and 8542