What is the Greatest Common Factor of 70836 and 70840?

Greatest common factor (GCF) of 70836 and 70840 is 4.

GCF(70836,70840) = 4

We will now calculate the prime factors of 70836 and 70840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70836 and 70840.

How to find the GCF of 70836 and 70840?

We will first find the prime factorization of 70836 and 70840. After we will calculate the factors of 70836 and 70840 and find the biggest common factor number .

Step-1: Prime Factorization of 70836

Prime factors of 70836 are 2, 3, 5903. Prime factorization of 70836 in exponential form is:

70836 = 2² × 3¹ × 5903¹

Step-2: Prime Factorization of 70840

Prime factors of 70840 are 2, 5, 7, 11, 23. Prime factorization of 70840 in exponential form is:

70840 = 2³ × 5¹ × 7¹ × 11¹ × 23¹

Step-3: Factors of 70836

List of positive integer factors of 70836 that divides 70836 without a remainder.

1, 2, 3, 4, 6, 12, 5903, 11806, 17709, 23612, 35418

Step-4: Factors of 70840

List of positive integer factors of 70840 that divides 70836 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 23, 28, 35, 40, 44, 46, 55, 56, 70, 77, 88, 92, 110, 115, 140, 154, 161, 184, 220, 230, 253, 280, 308, 322, 385, 440, 460, 506, 616, 644, 770, 805, 920, 1012, 1265, 1288, 1540, 1610, 1771, 2024, 2530, 3080, 3220, 3542, 5060, 6440, 7084, 8855, 10120, 14168, 17710, 35420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70836 and 70840. The biggest common factor number is the GCF number.
So the greatest common factor 70836 and 70840 is 4.

Also check out the Least Common Multiple of 70836 and 70840