What is the Greatest Common Factor of 77100 and 77115?

Greatest common factor (GCF) of 77100 and 77115 is 15.

GCF(77100,77115) = 15

We will now calculate the prime factors of 77100 and 77115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77100 and 77115.

How to find the GCF of 77100 and 77115?

We will first find the prime factorization of 77100 and 77115. After we will calculate the factors of 77100 and 77115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77115

Prime factors of 77115 are 3, 5, 53, 97. Prime factorization of 77115 in exponential form is:

77115 = 3¹ × 5¹ × 53¹ × 97¹

Step-3: Factors of 77100

List of positive integer factors of 77100 that divides 77100 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

Step-4: Factors of 77115

List of positive integer factors of 77115 that divides 77100 without a remainder.

1, 3, 5, 15, 53, 97, 159, 265, 291, 485, 795, 1455, 5141, 15423, 25705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77100 and 77115. The biggest common factor number is the GCF number.
So the greatest common factor 77100 and 77115 is 15.

Also check out the Least Common Multiple of 77100 and 77115