What is the Greatest Common Factor of 26350 and 26362?

Greatest common factor (GCF) of 26350 and 26362 is 2.

GCF(26350,26362) = 2

We will now calculate the prime factors of 26350 and 26362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26350 and 26362.

How to find the GCF of 26350 and 26362?

We will first find the prime factorization of 26350 and 26362. After we will calculate the factors of 26350 and 26362 and find the biggest common factor number .

Step-1: Prime Factorization of 26350

Prime factors of 26350 are 2, 5, 17, 31. Prime factorization of 26350 in exponential form is:

26350 = 2¹ × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 26362

Prime factors of 26362 are 2, 7, 269. Prime factorization of 26362 in exponential form is:

26362 = 2¹ × 7² × 269¹

Step-3: Factors of 26350

List of positive integer factors of 26350 that divides 26350 without a remainder.

1, 2, 5, 10, 17, 25, 31, 34, 50, 62, 85, 155, 170, 310, 425, 527, 775, 850, 1054, 1550, 2635, 5270, 13175

Step-4: Factors of 26362

List of positive integer factors of 26362 that divides 26350 without a remainder.

1, 2, 7, 14, 49, 98, 269, 538, 1883, 3766, 13181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26350 and 26362. The biggest common factor number is the GCF number.
So the greatest common factor 26350 and 26362 is 2.

Also check out the Least Common Multiple of 26350 and 26362