What is the Greatest Common Factor of 77096 and 77113?

Greatest common factor (GCF) of 77096 and 77113 is 1.

GCF(77096,77113) = 1

We will now calculate the prime factors of 77096 and 77113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77096 and 77113.

How to find the GCF of 77096 and 77113?

We will first find the prime factorization of 77096 and 77113. After we will calculate the factors of 77096 and 77113 and find the biggest common factor number .

Step-1: Prime Factorization of 77096

Prime factors of 77096 are 2, 23, 419. Prime factorization of 77096 in exponential form is:

77096 = 2³ × 23¹ × 419¹

Step-2: Prime Factorization of 77113

Prime factors of 77113 are 59, 1307. Prime factorization of 77113 in exponential form is:

77113 = 59¹ × 1307¹

Step-3: Factors of 77096

List of positive integer factors of 77096 that divides 77096 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 419, 838, 1676, 3352, 9637, 19274, 38548

Step-4: Factors of 77113

List of positive integer factors of 77113 that divides 77096 without a remainder.

1, 59, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77096 and 77113. The biggest common factor number is the GCF number.
So the greatest common factor 77096 and 77113 is 1.

Also check out the Least Common Multiple of 77096 and 77113