What is the Greatest Common Factor of 77808 and 77827?

Greatest common factor (GCF) of 77808 and 77827 is 1.

GCF(77808,77827) = 1

We will now calculate the prime factors of 77808 and 77827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77808 and 77827.

How to find the GCF of 77808 and 77827?

We will first find the prime factorization of 77808 and 77827. After we will calculate the factors of 77808 and 77827 and find the biggest common factor number .

Step-1: Prime Factorization of 77808

Prime factors of 77808 are 2, 3, 1621. Prime factorization of 77808 in exponential form is:

77808 = 2⁴ × 3¹ × 1621¹

Step-2: Prime Factorization of 77827

Prime factors of 77827 are 223, 349. Prime factorization of 77827 in exponential form is:

77827 = 223¹ × 349¹

Step-3: Factors of 77808

List of positive integer factors of 77808 that divides 77808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1621, 3242, 4863, 6484, 9726, 12968, 19452, 25936, 38904

Step-4: Factors of 77827

List of positive integer factors of 77827 that divides 77808 without a remainder.

1, 223, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77808 and 77827. The biggest common factor number is the GCF number.
So the greatest common factor 77808 and 77827 is 1.

Also check out the Least Common Multiple of 77808 and 77827