What is the Greatest Common Factor of 70800 and 70812?

Greatest common factor (GCF) of 70800 and 70812 is 12.

GCF(70800,70812) = 12

We will now calculate the prime factors of 70800 and 70812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70800 and 70812.

How to find the GCF of 70800 and 70812?

We will first find the prime factorization of 70800 and 70812. After we will calculate the factors of 70800 and 70812 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 70812

Prime factors of 70812 are 2, 3, 7, 281. Prime factorization of 70812 in exponential form is:

70812 = 2² × 3² × 7¹ × 281¹

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 70812

List of positive integer factors of 70812 that divides 70800 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 281, 562, 843, 1124, 1686, 1967, 2529, 3372, 3934, 5058, 5901, 7868, 10116, 11802, 17703, 23604, 35406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70800 and 70812. The biggest common factor number is the GCF number.
So the greatest common factor 70800 and 70812 is 12.

Also check out the Least Common Multiple of 70800 and 70812