What is the Greatest Common Factor of 26495 and 26503?

Greatest common factor (GCF) of 26495 and 26503 is 1.

GCF(26495,26503) = 1

We will now calculate the prime factors of 26495 and 26503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26495 and 26503.

How to find the GCF of 26495 and 26503?

We will first find the prime factorization of 26495 and 26503. After we will calculate the factors of 26495 and 26503 and find the biggest common factor number .

Step-1: Prime Factorization of 26495

Prime factors of 26495 are 5, 7, 757. Prime factorization of 26495 in exponential form is:

26495 = 5¹ × 7¹ × 757¹

Step-2: Prime Factorization of 26503

Prime factors of 26503 are 17, 1559. Prime factorization of 26503 in exponential form is:

26503 = 17¹ × 1559¹

Step-3: Factors of 26495

List of positive integer factors of 26495 that divides 26495 without a remainder.

1, 5, 7, 35, 757, 3785, 5299

Step-4: Factors of 26503

List of positive integer factors of 26503 that divides 26495 without a remainder.

1, 17, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26495 and 26503. The biggest common factor number is the GCF number.
So the greatest common factor 26495 and 26503 is 1.

Also check out the Least Common Multiple of 26495 and 26503