What is the Greatest Common Factor of 26985 and 26993?

Greatest common factor (GCF) of 26985 and 26993 is 1.

GCF(26985,26993) = 1

We will now calculate the prime factors of 26985 and 26993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26985 and 26993.

How to find the GCF of 26985 and 26993?

We will first find the prime factorization of 26985 and 26993. After we will calculate the factors of 26985 and 26993 and find the biggest common factor number .

Step-1: Prime Factorization of 26985

Prime factors of 26985 are 3, 5, 7, 257. Prime factorization of 26985 in exponential form is:

26985 = 3¹ × 5¹ × 7¹ × 257¹

Step-2: Prime Factorization of 26993

Prime factors of 26993 are 26993. Prime factorization of 26993 in exponential form is:

26993 = 26993¹

Step-3: Factors of 26985

List of positive integer factors of 26985 that divides 26985 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 257, 771, 1285, 1799, 3855, 5397, 8995

Step-4: Factors of 26993

List of positive integer factors of 26993 that divides 26985 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26985 and 26993. The biggest common factor number is the GCF number.
So the greatest common factor 26985 and 26993 is 1.

Also check out the Least Common Multiple of 26985 and 26993