What is the Greatest Common Factor of 70686 and 70698?

Greatest common factor (GCF) of 70686 and 70698 is 6.

GCF(70686,70698) = 6

We will now calculate the prime factors of 70686 and 70698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70686 and 70698.

How to find the GCF of 70686 and 70698?

We will first find the prime factorization of 70686 and 70698. After we will calculate the factors of 70686 and 70698 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 70698

Prime factors of 70698 are 2, 3, 11783. Prime factorization of 70698 in exponential form is:

70698 = 2¹ × 3¹ × 11783¹

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 70698

List of positive integer factors of 70698 that divides 70686 without a remainder.

1, 2, 3, 6, 11783, 23566, 35349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70686 and 70698. The biggest common factor number is the GCF number.
So the greatest common factor 70686 and 70698 is 6.

Also check out the Least Common Multiple of 70686 and 70698