What is the Greatest Common Factor of 26500 and 26506?

Greatest common factor (GCF) of 26500 and 26506 is 2.

GCF(26500,26506) = 2

We will now calculate the prime factors of 26500 and 26506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26500 and 26506.

How to find the GCF of 26500 and 26506?

We will first find the prime factorization of 26500 and 26506. After we will calculate the factors of 26500 and 26506 and find the biggest common factor number .

Step-1: Prime Factorization of 26500

Prime factors of 26500 are 2, 5, 53. Prime factorization of 26500 in exponential form is:

26500 = 2² × 5³ × 53¹

Step-2: Prime Factorization of 26506

Prime factors of 26506 are 2, 29, 457. Prime factorization of 26506 in exponential form is:

26506 = 2¹ × 29¹ × 457¹

Step-3: Factors of 26500

List of positive integer factors of 26500 that divides 26500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 125, 212, 250, 265, 500, 530, 1060, 1325, 2650, 5300, 6625, 13250

Step-4: Factors of 26506

List of positive integer factors of 26506 that divides 26500 without a remainder.

1, 2, 29, 58, 457, 914, 13253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26500 and 26506. The biggest common factor number is the GCF number.
So the greatest common factor 26500 and 26506 is 2.

Also check out the Least Common Multiple of 26500 and 26506