What is the Greatest Common Factor of 77096 and 77100?

Greatest common factor (GCF) of 77096 and 77100 is 4.

GCF(77096,77100) = 4

We will now calculate the prime factors of 77096 and 77100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77096 and 77100.

How to find the GCF of 77096 and 77100?

We will first find the prime factorization of 77096 and 77100. After we will calculate the factors of 77096 and 77100 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 77100

Prime factors of 77100 are 2, 3, 5, 257. Prime factorization of 77100 in exponential form is:

77100 = 2² × 3¹ × 5² × 257¹

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 77100

List of positive integer factors of 77100 that divides 77096 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 257, 300, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 6425, 7710, 12850, 15420, 19275, 25700, 38550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77096 and 77100. The biggest common factor number is the GCF number.
So the greatest common factor 77096 and 77100 is 4.

Also check out the Least Common Multiple of 77096 and 77100