What is the Greatest Common Factor of 77261 and 77270?

Greatest common factor (GCF) of 77261 and 77270 is 1.

GCF(77261,77270) = 1

We will now calculate the prime factors of 77261 and 77270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77261 and 77270.

How to find the GCF of 77261 and 77270?

We will first find the prime factorization of 77261 and 77270. After we will calculate the factors of 77261 and 77270 and find the biggest common factor number .

Step-1: Prime Factorization of 77261

Prime factors of 77261 are 77261. Prime factorization of 77261 in exponential form is:

77261 = 77261¹

Step-2: 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-3: Factors of 77261

List of positive integer factors of 77261 that divides 77261 without a remainder.

Step-4: Factors of 77270

List of positive integer factors of 77270 that divides 77261 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77261 and 77270. The biggest common factor number is the GCF number.
So the greatest common factor 77261 and 77270 is 1.

Also check out the Least Common Multiple of 77261 and 77270