What is the Greatest Common Factor of 77066 and 77082?

Greatest common factor (GCF) of 77066 and 77082 is 2.

GCF(77066,77082) = 2

We will now calculate the prime factors of 77066 and 77082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77066 and 77082.

How to find the GCF of 77066 and 77082?

We will first find the prime factorization of 77066 and 77082. After we will calculate the factors of 77066 and 77082 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 77082

Prime factors of 77082 are 2, 3, 29, 443. Prime factorization of 77082 in exponential form is:

77082 = 2¹ × 3¹ × 29¹ × 443¹

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 77082

List of positive integer factors of 77082 that divides 77066 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 443, 886, 1329, 2658, 12847, 25694, 38541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77066 and 77082. The biggest common factor number is the GCF number.
So the greatest common factor 77066 and 77082 is 2.

Also check out the Least Common Multiple of 77066 and 77082