What is the Greatest Common Factor of 77085 and 77100?

Greatest common factor (GCF) of 77085 and 77100 is 15.

GCF(77085,77100) = 15

We will now calculate the prime factors of 77085 and 77100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77085 and 77100.

How to find the GCF of 77085 and 77100?

We will first find the prime factorization of 77085 and 77100. After we will calculate the factors of 77085 and 77100 and find the biggest common factor number .

Step-1: Prime Factorization of 77085

Prime factors of 77085 are 3, 5, 571. Prime factorization of 77085 in exponential form is:

77085 = 3³ × 5¹ × 571¹

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 77085

List of positive integer factors of 77085 that divides 77085 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 571, 1713, 2855, 5139, 8565, 15417, 25695

Step-4: Factors of 77100

List of positive integer factors of 77100 that divides 77085 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 77085 and 77100. The biggest common factor number is the GCF number.
So the greatest common factor 77085 and 77100 is 15.

Also check out the Least Common Multiple of 77085 and 77100