What is the Greatest Common Factor of 77290 and 77310?

Greatest common factor (GCF) of 77290 and 77310 is 10.

GCF(77290,77310) = 10

We will now calculate the prime factors of 77290 and 77310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77290 and 77310.

How to find the GCF of 77290 and 77310?

We will first find the prime factorization of 77290 and 77310. After we will calculate the factors of 77290 and 77310 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 77310

Prime factors of 77310 are 2, 3, 5, 859. Prime factorization of 77310 in exponential form is:

77310 = 2¹ × 3² × 5¹ × 859¹

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 77310

List of positive integer factors of 77310 that divides 77290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 859, 1718, 2577, 4295, 5154, 7731, 8590, 12885, 15462, 25770, 38655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77290 and 77310. The biggest common factor number is the GCF number.
So the greatest common factor 77290 and 77310 is 10.

Also check out the Least Common Multiple of 77290 and 77310