What is the Greatest Common Factor of 77558 and 77577?

Greatest common factor (GCF) of 77558 and 77577 is 19.

GCF(77558,77577) = 19

We will now calculate the prime factors of 77558 and 77577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77558 and 77577.

How to find the GCF of 77558 and 77577?

We will first find the prime factorization of 77558 and 77577. After we will calculate the factors of 77558 and 77577 and find the biggest common factor number .

Step-1: Prime Factorization of 77558

Prime factors of 77558 are 2, 13, 19, 157. Prime factorization of 77558 in exponential form is:

77558 = 2¹ × 13¹ × 19¹ × 157¹

Step-2: Prime Factorization of 77577

Prime factors of 77577 are 3, 19, 1361. Prime factorization of 77577 in exponential form is:

77577 = 3¹ × 19¹ × 1361¹

Step-3: Factors of 77558

List of positive integer factors of 77558 that divides 77558 without a remainder.

1, 2, 13, 19, 26, 38, 157, 247, 314, 494, 2041, 2983, 4082, 5966, 38779

Step-4: Factors of 77577

List of positive integer factors of 77577 that divides 77558 without a remainder.

1, 3, 19, 57, 1361, 4083, 25859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77558 and 77577. The biggest common factor number is the GCF number.
So the greatest common factor 77558 and 77577 is 19.

Also check out the Least Common Multiple of 77558 and 77577