What is the Greatest Common Factor of 77091 and 77100?

Greatest common factor (GCF) of 77091 and 77100 is 3.

GCF(77091,77100) = 3

We will now calculate the prime factors of 77091 and 77100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77091 and 77100.

How to find the GCF of 77091 and 77100?

We will first find the prime factorization of 77091 and 77100. After we will calculate the factors of 77091 and 77100 and find the biggest common factor number .

Step-1: Prime Factorization of 77091

Prime factors of 77091 are 3, 7, 3671. Prime factorization of 77091 in exponential form is:

77091 = 3¹ × 7¹ × 3671¹

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 77091

List of positive integer factors of 77091 that divides 77091 without a remainder.

1, 3, 7, 21, 3671, 11013, 25697

Step-4: Factors of 77100

List of positive integer factors of 77100 that divides 77091 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 77091 and 77100. The biggest common factor number is the GCF number.
So the greatest common factor 77091 and 77100 is 3.

Also check out the Least Common Multiple of 77091 and 77100