What is the Greatest Common Factor of 26950 and 26970?

Greatest common factor (GCF) of 26950 and 26970 is 10.

GCF(26950,26970) = 10

We will now calculate the prime factors of 26950 and 26970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26950 and 26970.

How to find the GCF of 26950 and 26970?

We will first find the prime factorization of 26950 and 26970. After we will calculate the factors of 26950 and 26970 and find the biggest common factor number .

Step-1: Prime Factorization of 26950

Prime factors of 26950 are 2, 5, 7, 11. Prime factorization of 26950 in exponential form is:

26950 = 2¹ × 5² × 7² × 11¹

Step-2: Prime Factorization of 26970

Prime factors of 26970 are 2, 3, 5, 29, 31. Prime factorization of 26970 in exponential form is:

26970 = 2¹ × 3¹ × 5¹ × 29¹ × 31¹

Step-3: Factors of 26950

List of positive integer factors of 26950 that divides 26950 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 49, 50, 55, 70, 77, 98, 110, 154, 175, 245, 275, 350, 385, 490, 539, 550, 770, 1078, 1225, 1925, 2450, 2695, 3850, 5390, 13475

Step-4: Factors of 26970

List of positive integer factors of 26970 that divides 26950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 31, 58, 62, 87, 93, 145, 155, 174, 186, 290, 310, 435, 465, 870, 899, 930, 1798, 2697, 4495, 5394, 8990, 13485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26950 and 26970. The biggest common factor number is the GCF number.
So the greatest common factor 26950 and 26970 is 10.

Also check out the Least Common Multiple of 26950 and 26970