What is the Greatest Common Factor of 26500 and 26514?

Greatest common factor (GCF) of 26500 and 26514 is 2.

GCF(26500,26514) = 2

We will now calculate the prime factors of 26500 and 26514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26500 and 26514.

How to find the GCF of 26500 and 26514?

We will first find the prime factorization of 26500 and 26514. After we will calculate the factors of 26500 and 26514 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 26514

Prime factors of 26514 are 2, 3, 491. Prime factorization of 26514 in exponential form is:

26514 = 2¹ × 3³ × 491¹

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 26514

List of positive integer factors of 26514 that divides 26500 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 491, 982, 1473, 2946, 4419, 8838, 13257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26500 and 26514. The biggest common factor number is the GCF number.
So the greatest common factor 26500 and 26514 is 2.

Also check out the Least Common Multiple of 26500 and 26514