What is the Greatest Common Factor of 26130 and 26150?

Greatest common factor (GCF) of 26130 and 26150 is 10.

GCF(26130,26150) = 10

We will now calculate the prime factors of 26130 and 26150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26130 and 26150.

How to find the GCF of 26130 and 26150?

We will first find the prime factorization of 26130 and 26150. After we will calculate the factors of 26130 and 26150 and find the biggest common factor number .

Step-1: Prime Factorization of 26130

Prime factors of 26130 are 2, 3, 5, 13, 67. Prime factorization of 26130 in exponential form is:

26130 = 2¹ × 3¹ × 5¹ × 13¹ × 67¹

Step-2: Prime Factorization of 26150

Prime factors of 26150 are 2, 5, 523. Prime factorization of 26150 in exponential form is:

26150 = 2¹ × 5² × 523¹

Step-3: Factors of 26130

List of positive integer factors of 26130 that divides 26130 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 67, 78, 130, 134, 195, 201, 335, 390, 402, 670, 871, 1005, 1742, 2010, 2613, 4355, 5226, 8710, 13065

Step-4: Factors of 26150

List of positive integer factors of 26150 that divides 26130 without a remainder.

1, 2, 5, 10, 25, 50, 523, 1046, 2615, 5230, 13075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26130 and 26150. The biggest common factor number is the GCF number.
So the greatest common factor 26130 and 26150 is 10.

Also check out the Least Common Multiple of 26130 and 26150