What is the Greatest Common Factor of 70686 and 70695?

Greatest common factor (GCF) of 70686 and 70695 is 9.

GCF(70686,70695) = 9

We will now calculate the prime factors of 70686 and 70695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70686 and 70695.

How to find the GCF of 70686 and 70695?

We will first find the prime factorization of 70686 and 70695. After we will calculate the factors of 70686 and 70695 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 70695

Prime factors of 70695 are 3, 5, 1571. Prime factorization of 70695 in exponential form is:

70695 = 3² × 5¹ × 1571¹

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 70695

List of positive integer factors of 70695 that divides 70686 without a remainder.

1, 3, 5, 9, 15, 45, 1571, 4713, 7855, 14139, 23565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70686 and 70695. The biggest common factor number is the GCF number.
So the greatest common factor 70686 and 70695 is 9.

Also check out the Least Common Multiple of 70686 and 70695