What is the Greatest Common Factor of 77288 and 77302?

Greatest common factor (GCF) of 77288 and 77302 is 2.

GCF(77288,77302) = 2

We will now calculate the prime factors of 77288 and 77302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77288 and 77302.

How to find the GCF of 77288 and 77302?

We will first find the prime factorization of 77288 and 77302. After we will calculate the factors of 77288 and 77302 and find the biggest common factor number .

Step-1: Prime Factorization of 77288

Prime factors of 77288 are 2, 9661. Prime factorization of 77288 in exponential form is:

77288 = 2³ × 9661¹

Step-2: Prime Factorization of 77302

Prime factors of 77302 are 2, 38651. Prime factorization of 77302 in exponential form is:

77302 = 2¹ × 38651¹

Step-3: Factors of 77288

List of positive integer factors of 77288 that divides 77288 without a remainder.

1, 2, 4, 8, 9661, 19322, 38644

Step-4: Factors of 77302

List of positive integer factors of 77302 that divides 77288 without a remainder.

1, 2, 38651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77288 and 77302. The biggest common factor number is the GCF number.
So the greatest common factor 77288 and 77302 is 2.

Also check out the Least Common Multiple of 77288 and 77302