What is the Greatest Common Factor of 77584 and 77594?

Greatest common factor (GCF) of 77584 and 77594 is 2.

GCF(77584,77594) = 2

We will now calculate the prime factors of 77584 and 77594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77584 and 77594.

How to find the GCF of 77584 and 77594?

We will first find the prime factorization of 77584 and 77594. After we will calculate the factors of 77584 and 77594 and find the biggest common factor number .

Step-1: Prime Factorization of 77584

Prime factors of 77584 are 2, 13, 373. Prime factorization of 77584 in exponential form is:

77584 = 2⁴ × 13¹ × 373¹

Step-2: 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-3: Factors of 77584

List of positive integer factors of 77584 that divides 77584 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 373, 746, 1492, 2984, 4849, 5968, 9698, 19396, 38792

Step-4: Factors of 77594

List of positive integer factors of 77594 that divides 77584 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77584 and 77594. The biggest common factor number is the GCF number.
So the greatest common factor 77584 and 77594 is 2.

Also check out the Least Common Multiple of 77584 and 77594