What is the Greatest Common Factor of 77100 and 77109?

Greatest common factor (GCF) of 77100 and 77109 is 3.

GCF(77100,77109) = 3

We will now calculate the prime factors of 77100 and 77109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77100 and 77109.

How to find the GCF of 77100 and 77109?

We will first find the prime factorization of 77100 and 77109. After we will calculate the factors of 77100 and 77109 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 77109

Prime factors of 77109 are 3, 25703. Prime factorization of 77109 in exponential form is:

77109 = 3¹ × 25703¹

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 77109

List of positive integer factors of 77109 that divides 77100 without a remainder.

1, 3, 25703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77100 and 77109. The biggest common factor number is the GCF number.
So the greatest common factor 77100 and 77109 is 3.

Also check out the Least Common Multiple of 77100 and 77109