What is the Greatest Common Factor of 26055 and 26070?

Greatest common factor (GCF) of 26055 and 26070 is 15.

GCF(26055,26070) = 15

We will now calculate the prime factors of 26055 and 26070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26055 and 26070.

How to find the GCF of 26055 and 26070?

We will first find the prime factorization of 26055 and 26070. After we will calculate the factors of 26055 and 26070 and find the biggest common factor number .

Step-1: Prime Factorization of 26055

Prime factors of 26055 are 3, 5, 193. Prime factorization of 26055 in exponential form is:

26055 = 3³ × 5¹ × 193¹

Step-2: Prime Factorization of 26070

Prime factors of 26070 are 2, 3, 5, 11, 79. Prime factorization of 26070 in exponential form is:

26070 = 2¹ × 3¹ × 5¹ × 11¹ × 79¹

Step-3: Factors of 26055

List of positive integer factors of 26055 that divides 26055 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 193, 579, 965, 1737, 2895, 5211, 8685

Step-4: Factors of 26070

List of positive integer factors of 26070 that divides 26055 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 79, 110, 158, 165, 237, 330, 395, 474, 790, 869, 1185, 1738, 2370, 2607, 4345, 5214, 8690, 13035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26055 and 26070. The biggest common factor number is the GCF number.
So the greatest common factor 26055 and 26070 is 15.

Also check out the Least Common Multiple of 26055 and 26070