What is the Greatest Common Factor of 77266 and 77276?

Greatest common factor (GCF) of 77266 and 77276 is 2.

GCF(77266,77276) = 2

We will now calculate the prime factors of 77266 and 77276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77266 and 77276.

How to find the GCF of 77266 and 77276?

We will first find the prime factorization of 77266 and 77276. After we will calculate the factors of 77266 and 77276 and find the biggest common factor number .

Step-1: Prime Factorization of 77266

Prime factors of 77266 are 2, 7, 5519. Prime factorization of 77266 in exponential form is:

77266 = 2¹ × 7¹ × 5519¹

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 77266

List of positive integer factors of 77266 that divides 77266 without a remainder.

1, 2, 7, 14, 5519, 11038, 38633

Step-4: Factors of 77276

List of positive integer factors of 77276 that divides 77266 without a remainder.

1, 2, 4, 19319, 38638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77266 and 77276. The biggest common factor number is the GCF number.
So the greatest common factor 77266 and 77276 is 2.

Also check out the Least Common Multiple of 77266 and 77276