What is the Greatest Common Factor of 26350 and 26354?

Greatest common factor (GCF) of 26350 and 26354 is 2.

GCF(26350,26354) = 2

We will now calculate the prime factors of 26350 and 26354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26350 and 26354.

How to find the GCF of 26350 and 26354?

We will first find the prime factorization of 26350 and 26354. After we will calculate the factors of 26350 and 26354 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 26354

Prime factors of 26354 are 2, 13177. Prime factorization of 26354 in exponential form is:

26354 = 2¹ × 13177¹

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 26354

List of positive integer factors of 26354 that divides 26350 without a remainder.

1, 2, 13177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26350 and 26354. The biggest common factor number is the GCF number.
So the greatest common factor 26350 and 26354 is 2.

Also check out the Least Common Multiple of 26350 and 26354