What is the Greatest Common Factor of 70800 and 70820?

Greatest common factor (GCF) of 70800 and 70820 is 20.

GCF(70800,70820) = 20

We will now calculate the prime factors of 70800 and 70820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70800 and 70820.

How to find the GCF of 70800 and 70820?

We will first find the prime factorization of 70800 and 70820. After we will calculate the factors of 70800 and 70820 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 70820

Prime factors of 70820 are 2, 5, 3541. Prime factorization of 70820 in exponential form is:

70820 = 2² × 5¹ × 3541¹

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 70820

List of positive integer factors of 70820 that divides 70800 without a remainder.

1, 2, 4, 5, 10, 20, 3541, 7082, 14164, 17705, 35410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70800 and 70820. The biggest common factor number is the GCF number.
So the greatest common factor 70800 and 70820 is 20.

Also check out the Least Common Multiple of 70800 and 70820