What is the Greatest Common Factor of 76078 and 76086?

Greatest common factor (GCF) of 76078 and 76086 is 2.

GCF(76078,76086) = 2

We will now calculate the prime factors of 76078 and 76086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76078 and 76086.

How to find the GCF of 76078 and 76086?

We will first find the prime factorization of 76078 and 76086. After we will calculate the factors of 76078 and 76086 and find the biggest common factor number .

Step-1: Prime Factorization of 76078

Prime factors of 76078 are 2, 38039. Prime factorization of 76078 in exponential form is:

76078 = 2¹ × 38039¹

Step-2: Prime Factorization of 76086

Prime factors of 76086 are 2, 3, 1409. Prime factorization of 76086 in exponential form is:

76086 = 2¹ × 3³ × 1409¹

Step-3: Factors of 76078

List of positive integer factors of 76078 that divides 76078 without a remainder.

1, 2, 38039

Step-4: Factors of 76086

List of positive integer factors of 76086 that divides 76078 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1409, 2818, 4227, 8454, 12681, 25362, 38043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76078 and 76086. The biggest common factor number is the GCF number.
So the greatest common factor 76078 and 76086 is 2.

Also check out the Least Common Multiple of 76078 and 76086