What is the Greatest Common Factor of 26760 and 26777?

Greatest common factor (GCF) of 26760 and 26777 is 1.

GCF(26760,26777) = 1

We will now calculate the prime factors of 26760 and 26777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26760 and 26777.

How to find the GCF of 26760 and 26777?

We will first find the prime factorization of 26760 and 26777. After we will calculate the factors of 26760 and 26777 and find the biggest common factor number .

Step-1: Prime Factorization of 26760

Prime factors of 26760 are 2, 3, 5, 223. Prime factorization of 26760 in exponential form is:

26760 = 2³ × 3¹ × 5¹ × 223¹

Step-2: Prime Factorization of 26777

Prime factors of 26777 are 26777. Prime factorization of 26777 in exponential form is:

26777 = 26777¹

Step-3: Factors of 26760

List of positive integer factors of 26760 that divides 26760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 223, 446, 669, 892, 1115, 1338, 1784, 2230, 2676, 3345, 4460, 5352, 6690, 8920, 13380

Step-4: Factors of 26777

List of positive integer factors of 26777 that divides 26760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26760 and 26777. The biggest common factor number is the GCF number.
So the greatest common factor 26760 and 26777 is 1.

Also check out the Least Common Multiple of 26760 and 26777