What is the Greatest Common Factor of 70804 and 70824?

Greatest common factor (GCF) of 70804 and 70824 is 4.

GCF(70804,70824) = 4

We will now calculate the prime factors of 70804 and 70824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70804 and 70824.

How to find the GCF of 70804 and 70824?

We will first find the prime factorization of 70804 and 70824. After we will calculate the factors of 70804 and 70824 and find the biggest common factor number .

Step-1: Prime Factorization of 70804

Prime factors of 70804 are 2, 31, 571. Prime factorization of 70804 in exponential form is:

70804 = 2² × 31¹ × 571¹

Step-2: Prime Factorization of 70824

Prime factors of 70824 are 2, 3, 13, 227. Prime factorization of 70824 in exponential form is:

70824 = 2³ × 3¹ × 13¹ × 227¹

Step-3: Factors of 70804

List of positive integer factors of 70804 that divides 70804 without a remainder.

1, 2, 4, 31, 62, 124, 571, 1142, 2284, 17701, 35402

Step-4: Factors of 70824

List of positive integer factors of 70824 that divides 70804 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 227, 312, 454, 681, 908, 1362, 1816, 2724, 2951, 5448, 5902, 8853, 11804, 17706, 23608, 35412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70804 and 70824. The biggest common factor number is the GCF number.
So the greatest common factor 70804 and 70824 is 4.

Also check out the Least Common Multiple of 70804 and 70824