What is the Greatest Common Factor of 78100 and 78107?

Greatest common factor (GCF) of 78100 and 78107 is 1.

GCF(78100,78107) = 1

We will now calculate the prime factors of 78100 and 78107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78100 and 78107.

How to find the GCF of 78100 and 78107?

We will first find the prime factorization of 78100 and 78107. After we will calculate the factors of 78100 and 78107 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 78107

Prime factors of 78107 are 37, 2111. Prime factorization of 78107 in exponential form is:

78107 = 37¹ × 2111¹

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 78107

List of positive integer factors of 78107 that divides 78100 without a remainder.

1, 37, 2111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78100 and 78107. The biggest common factor number is the GCF number.
So the greatest common factor 78100 and 78107 is 1.

Also check out the Least Common Multiple of 78100 and 78107