What is the Greatest Common Factor of 70670 and 70686?

Greatest common factor (GCF) of 70670 and 70686 is 2.

GCF(70670,70686) = 2

We will now calculate the prime factors of 70670 and 70686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70670 and 70686.

How to find the GCF of 70670 and 70686?

We will first find the prime factorization of 70670 and 70686. After we will calculate the factors of 70670 and 70686 and find the biggest common factor number .

Step-1: Prime Factorization of 70670

Prime factors of 70670 are 2, 5, 37, 191. Prime factorization of 70670 in exponential form is:

70670 = 2¹ × 5¹ × 37¹ × 191¹

Step-2: Prime Factorization of 70686

Prime factors of 70686 are 2, 3, 7, 11, 17. Prime factorization of 70686 in exponential form is:

70686 = 2¹ × 3³ × 7¹ × 11¹ × 17¹

Step-3: Factors of 70670

List of positive integer factors of 70670 that divides 70670 without a remainder.

1, 2, 5, 10, 37, 74, 185, 191, 370, 382, 955, 1910, 7067, 14134, 35335

Step-4: Factors of 70686

List of positive integer factors of 70686 that divides 70670 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 17, 18, 21, 22, 27, 33, 34, 42, 51, 54, 63, 66, 77, 99, 102, 119, 126, 153, 154, 187, 189, 198, 231, 238, 297, 306, 357, 374, 378, 459, 462, 561, 594, 693, 714, 918, 1071, 1122, 1309, 1386, 1683, 2079, 2142, 2618, 3213, 3366, 3927, 4158, 5049, 6426, 7854, 10098, 11781, 23562, 35343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70670 and 70686. The biggest common factor number is the GCF number.
So the greatest common factor 70670 and 70686 is 2.

Also check out the Least Common Multiple of 70670 and 70686