What is the Greatest Common Factor of 70800 and 70814?

Greatest common factor (GCF) of 70800 and 70814 is 2.

GCF(70800,70814) = 2

We will now calculate the prime factors of 70800 and 70814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70800 and 70814.

How to find the GCF of 70800 and 70814?

We will first find the prime factorization of 70800 and 70814. After we will calculate the factors of 70800 and 70814 and find the biggest common factor number .

Step-1: Prime Factorization of 70800

Prime factors of 70800 are 2, 3, 5, 59. Prime factorization of 70800 in exponential form is:

70800 = 2⁴ × 3¹ × 5² × 59¹

Step-2: Prime Factorization of 70814

Prime factors of 70814 are 2, 35407. Prime factorization of 70814 in exponential form is:

70814 = 2¹ × 35407¹

Step-3: Factors of 70800

List of positive integer factors of 70800 that divides 70800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 59, 60, 75, 80, 100, 118, 120, 150, 177, 200, 236, 240, 295, 300, 354, 400, 472, 590, 600, 708, 885, 944, 1180, 1200, 1416, 1475, 1770, 2360, 2832, 2950, 3540, 4425, 4720, 5900, 7080, 8850, 11800, 14160, 17700, 23600, 35400

Step-4: Factors of 70814

List of positive integer factors of 70814 that divides 70800 without a remainder.

1, 2, 35407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70800 and 70814. The biggest common factor number is the GCF number.
So the greatest common factor 70800 and 70814 is 2.

Also check out the Least Common Multiple of 70800 and 70814