What is the Greatest Common Factor of 28525 and 28534?

Greatest common factor (GCF) of 28525 and 28534 is 1.

GCF(28525,28534) = 1

We will now calculate the prime factors of 28525 and 28534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28525 and 28534.

How to find the GCF of 28525 and 28534?

We will first find the prime factorization of 28525 and 28534. After we will calculate the factors of 28525 and 28534 and find the biggest common factor number .

Step-1: Prime Factorization of 28525

Prime factors of 28525 are 5, 7, 163. Prime factorization of 28525 in exponential form is:

28525 = 5² × 7¹ × 163¹

Step-2: Prime Factorization of 28534

Prime factors of 28534 are 2, 11, 1297. Prime factorization of 28534 in exponential form is:

28534 = 2¹ × 11¹ × 1297¹

Step-3: Factors of 28525

List of positive integer factors of 28525 that divides 28525 without a remainder.

1, 5, 7, 25, 35, 163, 175, 815, 1141, 4075, 5705

Step-4: Factors of 28534

List of positive integer factors of 28534 that divides 28525 without a remainder.

1, 2, 11, 22, 1297, 2594, 14267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28525 and 28534. The biggest common factor number is the GCF number.
So the greatest common factor 28525 and 28534 is 1.

Also check out the Least Common Multiple of 28525 and 28534