What is the Greatest Common Factor of 77066 and 77071?

Greatest common factor (GCF) of 77066 and 77071 is 1.

GCF(77066,77071) = 1

We will now calculate the prime factors of 77066 and 77071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77066 and 77071.

How to find the GCF of 77066 and 77071?

We will first find the prime factorization of 77066 and 77071. After we will calculate the factors of 77066 and 77071 and find the biggest common factor number .

Step-1: Prime Factorization of 77066

Prime factors of 77066 are 2, 11, 31, 113. Prime factorization of 77066 in exponential form is:

77066 = 2¹ × 11¹ × 31¹ × 113¹

Step-2: Prime Factorization of 77071

Prime factors of 77071 are 37, 2083. Prime factorization of 77071 in exponential form is:

77071 = 37¹ × 2083¹

Step-3: Factors of 77066

List of positive integer factors of 77066 that divides 77066 without a remainder.

1, 2, 11, 22, 31, 62, 113, 226, 341, 682, 1243, 2486, 3503, 7006, 38533

Step-4: Factors of 77071

List of positive integer factors of 77071 that divides 77066 without a remainder.

1, 37, 2083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77066 and 77071. The biggest common factor number is the GCF number.
So the greatest common factor 77066 and 77071 is 1.

Also check out the Least Common Multiple of 77066 and 77071