What is the Greatest Common Factor of 77271 and 77276?

Greatest common factor (GCF) of 77271 and 77276 is 1.

GCF(77271,77276) = 1

We will now calculate the prime factors of 77271 and 77276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77271 and 77276.

How to find the GCF of 77271 and 77276?

We will first find the prime factorization of 77271 and 77276. After we will calculate the factors of 77271 and 77276 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 77276

Prime factors of 77276 are 2, 19319. Prime factorization of 77276 in exponential form is:

77276 = 2² × 19319¹

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 77276

List of positive integer factors of 77276 that divides 77271 without a remainder.

1, 2, 4, 19319, 38638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77271 and 77276. The biggest common factor number is the GCF number.
So the greatest common factor 77271 and 77276 is 1.

Also check out the Least Common Multiple of 77271 and 77276