What is the Greatest Common Factor of 76582 and 76602?

Greatest common factor (GCF) of 76582 and 76602 is 2.

GCF(76582,76602) = 2

We will now calculate the prime factors of 76582 and 76602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76582 and 76602.

How to find the GCF of 76582 and 76602?

We will first find the prime factorization of 76582 and 76602. After we will calculate the factors of 76582 and 76602 and find the biggest common factor number .

Step-1: Prime Factorization of 76582

Prime factors of 76582 are 2, 11, 59. Prime factorization of 76582 in exponential form is:

76582 = 2¹ × 11¹ × 59²

Step-2: Prime Factorization of 76602

Prime factors of 76602 are 2, 3, 17, 751. Prime factorization of 76602 in exponential form is:

76602 = 2¹ × 3¹ × 17¹ × 751¹

Step-3: Factors of 76582

List of positive integer factors of 76582 that divides 76582 without a remainder.

1, 2, 11, 22, 59, 118, 649, 1298, 3481, 6962, 38291

Step-4: Factors of 76602

List of positive integer factors of 76602 that divides 76582 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 751, 1502, 2253, 4506, 12767, 25534, 38301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76582 and 76602. The biggest common factor number is the GCF number.
So the greatest common factor 76582 and 76602 is 2.

Also check out the Least Common Multiple of 76582 and 76602