What is the Greatest Common Factor of 26700 and 26705?

Greatest common factor (GCF) of 26700 and 26705 is 5.

GCF(26700,26705) = 5

We will now calculate the prime factors of 26700 and 26705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26700 and 26705.

How to find the GCF of 26700 and 26705?

We will first find the prime factorization of 26700 and 26705. After we will calculate the factors of 26700 and 26705 and find the biggest common factor number .

Step-1: Prime Factorization of 26700

Prime factors of 26700 are 2, 3, 5, 89. Prime factorization of 26700 in exponential form is:

26700 = 2² × 3¹ × 5² × 89¹

Step-2: Prime Factorization of 26705

Prime factors of 26705 are 5, 7, 109. Prime factorization of 26705 in exponential form is:

26705 = 5¹ × 7² × 109¹

Step-3: Factors of 26700

List of positive integer factors of 26700 that divides 26700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 89, 100, 150, 178, 267, 300, 356, 445, 534, 890, 1068, 1335, 1780, 2225, 2670, 4450, 5340, 6675, 8900, 13350

Step-4: Factors of 26705

List of positive integer factors of 26705 that divides 26700 without a remainder.

1, 5, 7, 35, 49, 109, 245, 545, 763, 3815, 5341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26700 and 26705. The biggest common factor number is the GCF number.
So the greatest common factor 26700 and 26705 is 5.

Also check out the Least Common Multiple of 26700 and 26705