What is the Greatest Common Factor of 70830 and 70840?

Greatest common factor (GCF) of 70830 and 70840 is 10.

GCF(70830,70840) = 10

We will now calculate the prime factors of 70830 and 70840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70830 and 70840.

How to find the GCF of 70830 and 70840?

We will first find the prime factorization of 70830 and 70840. After we will calculate the factors of 70830 and 70840 and find the biggest common factor number .

Step-1: Prime Factorization of 70830

Prime factors of 70830 are 2, 3, 5, 787. Prime factorization of 70830 in exponential form is:

70830 = 2¹ × 3² × 5¹ × 787¹

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 70830

List of positive integer factors of 70830 that divides 70830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 787, 1574, 2361, 3935, 4722, 7083, 7870, 11805, 14166, 23610, 35415

Step-4: Factors of 70840

List of positive integer factors of 70840 that divides 70830 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 70830 and 70840. The biggest common factor number is the GCF number.
So the greatest common factor 70830 and 70840 is 10.

Also check out the Least Common Multiple of 70830 and 70840