What is the Greatest Common Factor of 77271 and 77283?

Greatest common factor (GCF) of 77271 and 77283 is 3.

GCF(77271,77283) = 3

We will now calculate the prime factors of 77271 and 77283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77271 and 77283.

How to find the GCF of 77271 and 77283?

We will first find the prime factorization of 77271 and 77283. After we will calculate the factors of 77271 and 77283 and find the biggest common factor number .

Step-1: Prime Factorization of 77271

Prime factors of 77271 are 3, 43, 599. Prime factorization of 77271 in exponential form is:

77271 = 3¹ × 43¹ × 599¹

Step-2: Prime Factorization of 77283

Prime factors of 77283 are 3, 31, 277. Prime factorization of 77283 in exponential form is:

77283 = 3² × 31¹ × 277¹

Step-3: Factors of 77271

List of positive integer factors of 77271 that divides 77271 without a remainder.

1, 3, 43, 129, 599, 1797, 25757

Step-4: Factors of 77283

List of positive integer factors of 77283 that divides 77271 without a remainder.

1, 3, 9, 31, 93, 277, 279, 831, 2493, 8587, 25761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77271 and 77283. The biggest common factor number is the GCF number.
So the greatest common factor 77271 and 77283 is 3.

Also check out the Least Common Multiple of 77271 and 77283