What is the Greatest Common Factor of 76602 and 76609?

Greatest common factor (GCF) of 76602 and 76609 is 1.

GCF(76602,76609) = 1

We will now calculate the prime factors of 76602 and 76609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76602 and 76609.

How to find the GCF of 76602 and 76609?

We will first find the prime factorization of 76602 and 76609. After we will calculate the factors of 76602 and 76609 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76609

Prime factors of 76609 are 13, 71, 83. Prime factorization of 76609 in exponential form is:

76609 = 13¹ × 71¹ × 83¹

Step-3: Factors of 76602

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

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

Step-4: Factors of 76609

List of positive integer factors of 76609 that divides 76602 without a remainder.

1, 13, 71, 83, 923, 1079, 5893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76602 and 76609. The biggest common factor number is the GCF number.
So the greatest common factor 76602 and 76609 is 1.

Also check out the Least Common Multiple of 76602 and 76609