What is the Greatest Common Factor of 77270 and 77290?

Greatest common factor (GCF) of 77270 and 77290 is 10.

GCF(77270,77290) = 10

We will now calculate the prime factors of 77270 and 77290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77270 and 77290.

How to find the GCF of 77270 and 77290?

We will first find the prime factorization of 77270 and 77290. After we will calculate the factors of 77270 and 77290 and find the biggest common factor number .

Step-1: Prime Factorization of 77270

Prime factors of 77270 are 2, 5, 7727. Prime factorization of 77270 in exponential form is:

77270 = 2¹ × 5¹ × 7727¹

Step-2: 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-3: Factors of 77270

List of positive integer factors of 77270 that divides 77270 without a remainder.

1, 2, 5, 10, 7727, 15454, 38635

Step-4: Factors of 77290

List of positive integer factors of 77290 that divides 77270 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77270 and 77290. The biggest common factor number is the GCF number.
So the greatest common factor 77270 and 77290 is 10.

Also check out the Least Common Multiple of 77270 and 77290