What is the Greatest Common Factor of 70686 and 70690?

Greatest common factor (GCF) of 70686 and 70690 is 2.

GCF(70686,70690) = 2

We will now calculate the prime factors of 70686 and 70690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70686 and 70690.

How to find the GCF of 70686 and 70690?

We will first find the prime factorization of 70686 and 70690. After we will calculate the factors of 70686 and 70690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70690

Prime factors of 70690 are 2, 5, 7069. Prime factorization of 70690 in exponential form is:

70690 = 2¹ × 5¹ × 7069¹

Step-3: Factors of 70686

List of positive integer factors of 70686 that divides 70686 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

Step-4: Factors of 70690

List of positive integer factors of 70690 that divides 70686 without a remainder.

1, 2, 5, 10, 7069, 14138, 35345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70686 and 70690. The biggest common factor number is the GCF number.
So the greatest common factor 70686 and 70690 is 2.

Also check out the Least Common Multiple of 70686 and 70690