What is the Greatest Common Factor of 26850 and 26870?

Greatest common factor (GCF) of 26850 and 26870 is 10.

GCF(26850,26870) = 10

We will now calculate the prime factors of 26850 and 26870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26850 and 26870.

How to find the GCF of 26850 and 26870?

We will first find the prime factorization of 26850 and 26870. After we will calculate the factors of 26850 and 26870 and find the biggest common factor number .

Step-1: Prime Factorization of 26850

Prime factors of 26850 are 2, 3, 5, 179. Prime factorization of 26850 in exponential form is:

26850 = 2¹ × 3¹ × 5² × 179¹

Step-2: Prime Factorization of 26870

Prime factors of 26870 are 2, 5, 2687. Prime factorization of 26870 in exponential form is:

26870 = 2¹ × 5¹ × 2687¹

Step-3: Factors of 26850

List of positive integer factors of 26850 that divides 26850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 179, 358, 537, 895, 1074, 1790, 2685, 4475, 5370, 8950, 13425

Step-4: Factors of 26870

List of positive integer factors of 26870 that divides 26850 without a remainder.

1, 2, 5, 10, 2687, 5374, 13435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26850 and 26870. The biggest common factor number is the GCF number.
So the greatest common factor 26850 and 26870 is 10.

Also check out the Least Common Multiple of 26850 and 26870