What is the Greatest Common Factor of 26525 and 26537?

Greatest common factor (GCF) of 26525 and 26537 is 1.

GCF(26525,26537) = 1

We will now calculate the prime factors of 26525 and 26537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26525 and 26537.

How to find the GCF of 26525 and 26537?

We will first find the prime factorization of 26525 and 26537. After we will calculate the factors of 26525 and 26537 and find the biggest common factor number .

Step-1: Prime Factorization of 26525

Prime factors of 26525 are 5, 1061. Prime factorization of 26525 in exponential form is:

26525 = 5² × 1061¹

Step-2: Prime Factorization of 26537

Prime factors of 26537 are 7, 17, 223. Prime factorization of 26537 in exponential form is:

26537 = 7¹ × 17¹ × 223¹

Step-3: Factors of 26525

List of positive integer factors of 26525 that divides 26525 without a remainder.

1, 5, 25, 1061, 5305

Step-4: Factors of 26537

List of positive integer factors of 26537 that divides 26525 without a remainder.

1, 7, 17, 119, 223, 1561, 3791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26525 and 26537. The biggest common factor number is the GCF number.
So the greatest common factor 26525 and 26537 is 1.

Also check out the Least Common Multiple of 26525 and 26537