What is the Greatest Common Factor of 70840 and 70859?

Greatest common factor (GCF) of 70840 and 70859 is 1.

GCF(70840,70859) = 1

We will now calculate the prime factors of 70840 and 70859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70840 and 70859.

How to find the GCF of 70840 and 70859?

We will first find the prime factorization of 70840 and 70859. After we will calculate the factors of 70840 and 70859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70859

Prime factors of 70859 are 59, 1201. Prime factorization of 70859 in exponential form is:

70859 = 59¹ × 1201¹

Step-3: Factors of 70840

List of positive integer factors of 70840 that divides 70840 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

Step-4: Factors of 70859

List of positive integer factors of 70859 that divides 70840 without a remainder.

1, 59, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70840 and 70859. The biggest common factor number is the GCF number.
So the greatest common factor 70840 and 70859 is 1.

Also check out the Least Common Multiple of 70840 and 70859