What is the Greatest Common Factor of 70669 and 70686?

Greatest common factor (GCF) of 70669 and 70686 is 17.

GCF(70669,70686) = 17

We will now calculate the prime factors of 70669 and 70686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70669 and 70686.

How to find the GCF of 70669 and 70686?

We will first find the prime factorization of 70669 and 70686. After we will calculate the factors of 70669 and 70686 and find the biggest common factor number .

Step-1: Prime Factorization of 70669

Prime factors of 70669 are 17, 4157. Prime factorization of 70669 in exponential form is:

70669 = 17¹ × 4157¹

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 70669

List of positive integer factors of 70669 that divides 70669 without a remainder.

1, 17, 4157

Step-4: Factors of 70686

List of positive integer factors of 70686 that divides 70669 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 70669 and 70686. The biggest common factor number is the GCF number.
So the greatest common factor 70669 and 70686 is 17.

Also check out the Least Common Multiple of 70669 and 70686