What is the Greatest Common Factor of 26050 and 26070?

Greatest common factor (GCF) of 26050 and 26070 is 10.

GCF(26050,26070) = 10

We will now calculate the prime factors of 26050 and 26070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26050 and 26070.

How to find the GCF of 26050 and 26070?

We will first find the prime factorization of 26050 and 26070. After we will calculate the factors of 26050 and 26070 and find the biggest common factor number .

Step-1: Prime Factorization of 26050

Prime factors of 26050 are 2, 5, 521. Prime factorization of 26050 in exponential form is:

26050 = 2¹ × 5² × 521¹

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 26050

List of positive integer factors of 26050 that divides 26050 without a remainder.

1, 2, 5, 10, 25, 50, 521, 1042, 2605, 5210, 13025

Step-4: Factors of 26070

List of positive integer factors of 26070 that divides 26050 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 26050 and 26070. The biggest common factor number is the GCF number.
So the greatest common factor 26050 and 26070 is 10.

Also check out the Least Common Multiple of 26050 and 26070