What is the Greatest Common Factor of 77290 and 77296?

Greatest common factor (GCF) of 77290 and 77296 is 2.

GCF(77290,77296) = 2

We will now calculate the prime factors of 77290 and 77296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77290 and 77296.

How to find the GCF of 77290 and 77296?

We will first find the prime factorization of 77290 and 77296. After we will calculate the factors of 77290 and 77296 and find the biggest common factor number .

Step-1: Prime Factorization of 77290

Prime factors of 77290 are 2, 5, 59, 131. Prime factorization of 77290 in exponential form is:

77290 = 2¹ × 5¹ × 59¹ × 131¹

Step-2: Prime Factorization of 77296

Prime factors of 77296 are 2, 4831. Prime factorization of 77296 in exponential form is:

77296 = 2⁴ × 4831¹

Step-3: Factors of 77290

List of positive integer factors of 77290 that divides 77290 without a remainder.

1, 2, 5, 10, 59, 118, 131, 262, 295, 590, 655, 1310, 7729, 15458, 38645

Step-4: Factors of 77296

List of positive integer factors of 77296 that divides 77290 without a remainder.

1, 2, 4, 8, 16, 4831, 9662, 19324, 38648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77290 and 77296. The biggest common factor number is the GCF number.
So the greatest common factor 77290 and 77296 is 2.

Also check out the Least Common Multiple of 77290 and 77296