What is the Greatest Common Factor of 77594 and 77605?

Greatest common factor (GCF) of 77594 and 77605 is 11.

GCF(77594,77605) = 11

We will now calculate the prime factors of 77594 and 77605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77594 and 77605.

How to find the GCF of 77594 and 77605?

We will first find the prime factorization of 77594 and 77605. After we will calculate the factors of 77594 and 77605 and find the biggest common factor number .

Step-1: Prime Factorization of 77594

Prime factors of 77594 are 2, 11, 3527. Prime factorization of 77594 in exponential form is:

77594 = 2¹ × 11¹ × 3527¹

Step-2: Prime Factorization of 77605

Prime factors of 77605 are 5, 11, 17, 83. Prime factorization of 77605 in exponential form is:

77605 = 5¹ × 11¹ × 17¹ × 83¹

Step-3: Factors of 77594

List of positive integer factors of 77594 that divides 77594 without a remainder.

1, 2, 11, 22, 3527, 7054, 38797

Step-4: Factors of 77605

List of positive integer factors of 77605 that divides 77594 without a remainder.

1, 5, 11, 17, 55, 83, 85, 187, 415, 913, 935, 1411, 4565, 7055, 15521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77594 and 77605. The biggest common factor number is the GCF number.
So the greatest common factor 77594 and 77605 is 11.

Also check out the Least Common Multiple of 77594 and 77605