What is the Greatest Common Factor of 70800 and 70815?

Greatest common factor (GCF) of 70800 and 70815 is 15.

GCF(70800,70815) = 15

We will now calculate the prime factors of 70800 and 70815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70800 and 70815.

How to find the GCF of 70800 and 70815?

We will first find the prime factorization of 70800 and 70815. After we will calculate the factors of 70800 and 70815 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 70815

Prime factors of 70815 are 3, 5, 4721. Prime factorization of 70815 in exponential form is:

70815 = 3¹ × 5¹ × 4721¹

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 70815

List of positive integer factors of 70815 that divides 70800 without a remainder.

1, 3, 5, 15, 4721, 14163, 23605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70800 and 70815. The biggest common factor number is the GCF number.
So the greatest common factor 70800 and 70815 is 15.

Also check out the Least Common Multiple of 70800 and 70815