What is the Greatest Common Factor of 78596 and 78600?

Greatest common factor (GCF) of 78596 and 78600 is 4.

GCF(78596,78600) = 4

We will now calculate the prime factors of 78596 and 78600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78596 and 78600.

How to find the GCF of 78596 and 78600?

We will first find the prime factorization of 78596 and 78600. After we will calculate the factors of 78596 and 78600 and find the biggest common factor number .

Step-1: Prime Factorization of 78596

Prime factors of 78596 are 2, 7, 401. Prime factorization of 78596 in exponential form is:

78596 = 2² × 7² × 401¹

Step-2: 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-3: Factors of 78596

List of positive integer factors of 78596 that divides 78596 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 401, 802, 1604, 2807, 5614, 11228, 19649, 39298

Step-4: Factors of 78600

List of positive integer factors of 78600 that divides 78596 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78596 and 78600. The biggest common factor number is the GCF number.
So the greatest common factor 78596 and 78600 is 4.

Also check out the Least Common Multiple of 78596 and 78600