What is the Greatest Common Factor of 26182 and 26202?

Greatest common factor (GCF) of 26182 and 26202 is 2.

GCF(26182,26202) = 2

We will now calculate the prime factors of 26182 and 26202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26182 and 26202.

How to find the GCF of 26182 and 26202?

We will first find the prime factorization of 26182 and 26202. After we will calculate the factors of 26182 and 26202 and find the biggest common factor number .

Step-1: Prime Factorization of 26182

Prime factors of 26182 are 2, 13, 19, 53. Prime factorization of 26182 in exponential form is:

26182 = 2¹ × 13¹ × 19¹ × 53¹

Step-2: Prime Factorization of 26202

Prime factors of 26202 are 2, 3, 11, 397. Prime factorization of 26202 in exponential form is:

26202 = 2¹ × 3¹ × 11¹ × 397¹

Step-3: Factors of 26182

List of positive integer factors of 26182 that divides 26182 without a remainder.

1, 2, 13, 19, 26, 38, 53, 106, 247, 494, 689, 1007, 1378, 2014, 13091

Step-4: Factors of 26202

List of positive integer factors of 26202 that divides 26182 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 397, 794, 1191, 2382, 4367, 8734, 13101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26182 and 26202. The biggest common factor number is the GCF number.
So the greatest common factor 26182 and 26202 is 2.

Also check out the Least Common Multiple of 26182 and 26202