What is the Greatest Common Factor of 78094 and 78100?

Greatest common factor (GCF) of 78094 and 78100 is 2.

GCF(78094,78100) = 2

We will now calculate the prime factors of 78094 and 78100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78094 and 78100.

How to find the GCF of 78094 and 78100?

We will first find the prime factorization of 78094 and 78100. After we will calculate the factors of 78094 and 78100 and find the biggest common factor number .

Step-1: Prime Factorization of 78094

Prime factors of 78094 are 2, 39047. Prime factorization of 78094 in exponential form is:

78094 = 2¹ × 39047¹

Step-2: 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-3: Factors of 78094

List of positive integer factors of 78094 that divides 78094 without a remainder.

1, 2, 39047

Step-4: Factors of 78100

List of positive integer factors of 78100 that divides 78094 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78094 and 78100. The biggest common factor number is the GCF number.
So the greatest common factor 78094 and 78100 is 2.

Also check out the Least Common Multiple of 78094 and 78100