What is the Greatest Common Factor of 78100 and 78117?

Greatest common factor (GCF) of 78100 and 78117 is 1.

GCF(78100,78117) = 1

We will now calculate the prime factors of 78100 and 78117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78100 and 78117.

How to find the GCF of 78100 and 78117?

We will first find the prime factorization of 78100 and 78117. After we will calculate the factors of 78100 and 78117 and find the biggest common factor number .

Step-1: Prime Factorization of 78100

Prime factors of 78100 are 2, 5, 11, 71. Prime factorization of 78100 in exponential form is:

78100 = 2² × 5² × 11¹ × 71¹

Step-2: Prime Factorization of 78117

Prime factors of 78117 are 3, 13, 2003. Prime factorization of 78117 in exponential form is:

78117 = 3¹ × 13¹ × 2003¹

Step-3: Factors of 78100

List of positive integer factors of 78100 that divides 78100 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 71, 100, 110, 142, 220, 275, 284, 355, 550, 710, 781, 1100, 1420, 1562, 1775, 3124, 3550, 3905, 7100, 7810, 15620, 19525, 39050

Step-4: Factors of 78117

List of positive integer factors of 78117 that divides 78100 without a remainder.

1, 3, 13, 39, 2003, 6009, 26039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78100 and 78117. The biggest common factor number is the GCF number.
So the greatest common factor 78100 and 78117 is 1.

Also check out the Least Common Multiple of 78100 and 78117