What is the Greatest Common Factor of 78600 and 78614?

Greatest common factor (GCF) of 78600 and 78614 is 2.

GCF(78600,78614) = 2

We will now calculate the prime factors of 78600 and 78614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78600 and 78614.

How to find the GCF of 78600 and 78614?

We will first find the prime factorization of 78600 and 78614. After we will calculate the factors of 78600 and 78614 and find the biggest common factor number .

Step-1: Prime Factorization of 78600

Prime factors of 78600 are 2, 3, 5, 131. Prime factorization of 78600 in exponential form is:

78600 = 2³ × 3¹ × 5² × 131¹

Step-2: Prime Factorization of 78614

Prime factors of 78614 are 2, 23, 1709. Prime factorization of 78614 in exponential form is:

78614 = 2¹ × 23¹ × 1709¹

Step-3: Factors of 78600

List of positive integer factors of 78600 that divides 78600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 131, 150, 200, 262, 300, 393, 524, 600, 655, 786, 1048, 1310, 1572, 1965, 2620, 3144, 3275, 3930, 5240, 6550, 7860, 9825, 13100, 15720, 19650, 26200, 39300

Step-4: Factors of 78614

List of positive integer factors of 78614 that divides 78600 without a remainder.

1, 2, 23, 46, 1709, 3418, 39307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78600 and 78614. The biggest common factor number is the GCF number.
So the greatest common factor 78600 and 78614 is 2.

Also check out the Least Common Multiple of 78600 and 78614