What is the Greatest Common Factor of 78200 and 78212?

Greatest common factor (GCF) of 78200 and 78212 is 4.

GCF(78200,78212) = 4

We will now calculate the prime factors of 78200 and 78212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78200 and 78212.

How to find the GCF of 78200 and 78212?

We will first find the prime factorization of 78200 and 78212. After we will calculate the factors of 78200 and 78212 and find the biggest common factor number .

Step-1: Prime Factorization of 78200

Prime factors of 78200 are 2, 5, 17, 23. Prime factorization of 78200 in exponential form is:

78200 = 2³ × 5² × 17¹ × 23¹

Step-2: Prime Factorization of 78212

Prime factors of 78212 are 2, 19553. Prime factorization of 78212 in exponential form is:

78212 = 2² × 19553¹

Step-3: Factors of 78200

List of positive integer factors of 78200 that divides 78200 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 23, 25, 34, 40, 46, 50, 68, 85, 92, 100, 115, 136, 170, 184, 200, 230, 340, 391, 425, 460, 575, 680, 782, 850, 920, 1150, 1564, 1700, 1955, 2300, 3128, 3400, 3910, 4600, 7820, 9775, 15640, 19550, 39100

Step-4: Factors of 78212

List of positive integer factors of 78212 that divides 78200 without a remainder.

1, 2, 4, 19553, 39106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78200 and 78212. The biggest common factor number is the GCF number.
So the greatest common factor 78200 and 78212 is 4.

Also check out the Least Common Multiple of 78200 and 78212