What is the Greatest Common Factor of 26967 and 26985?

Greatest common factor (GCF) of 26967 and 26985 is 3.

GCF(26967,26985) = 3

We will now calculate the prime factors of 26967 and 26985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26967 and 26985.

How to find the GCF of 26967 and 26985?

We will first find the prime factorization of 26967 and 26985. After we will calculate the factors of 26967 and 26985 and find the biggest common factor number .

Step-1: Prime Factorization of 26967

Prime factors of 26967 are 3, 89, 101. Prime factorization of 26967 in exponential form is:

26967 = 3¹ × 89¹ × 101¹

Step-2: 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-3: Factors of 26967

List of positive integer factors of 26967 that divides 26967 without a remainder.

1, 3, 89, 101, 267, 303, 8989

Step-4: Factors of 26985

List of positive integer factors of 26985 that divides 26967 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26967 and 26985. The biggest common factor number is the GCF number.
So the greatest common factor 26967 and 26985 is 3.

Also check out the Least Common Multiple of 26967 and 26985