What is the Greatest Common Factor of 70800 and 70817?

Greatest common factor (GCF) of 70800 and 70817 is 1.

GCF(70800,70817) = 1

We will now calculate the prime factors of 70800 and 70817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70800 and 70817.

How to find the GCF of 70800 and 70817?

We will first find the prime factorization of 70800 and 70817. After we will calculate the factors of 70800 and 70817 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 70817

Prime factors of 70817 are 23, 3079. Prime factorization of 70817 in exponential form is:

70817 = 23¹ × 3079¹

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 70817

List of positive integer factors of 70817 that divides 70800 without a remainder.

1, 23, 3079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70800 and 70817. The biggest common factor number is the GCF number.
So the greatest common factor 70800 and 70817 is 1.

Also check out the Least Common Multiple of 70800 and 70817