What is the Greatest Common Factor of 15697 and 15708?

Greatest common factor (GCF) of 15697 and 15708 is 11.

GCF(15697,15708) = 11

We will now calculate the prime factors of 15697 and 15708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15697 and 15708.

How to find the GCF of 15697 and 15708?

We will first find the prime factorization of 15697 and 15708. After we will calculate the factors of 15697 and 15708 and find the biggest common factor number .

Step-1: Prime Factorization of 15697

Prime factors of 15697 are 11, 1427. Prime factorization of 15697 in exponential form is:

15697 = 11¹ × 1427¹

Step-2: Prime Factorization of 15708

Prime factors of 15708 are 2, 3, 7, 11, 17. Prime factorization of 15708 in exponential form is:

15708 = 2² × 3¹ × 7¹ × 11¹ × 17¹

Step-3: Factors of 15697

List of positive integer factors of 15697 that divides 15697 without a remainder.

1, 11, 1427

Step-4: Factors of 15708

List of positive integer factors of 15708 that divides 15697 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 17, 21, 22, 28, 33, 34, 42, 44, 51, 66, 68, 77, 84, 102, 119, 132, 154, 187, 204, 231, 238, 308, 357, 374, 462, 476, 561, 714, 748, 924, 1122, 1309, 1428, 2244, 2618, 3927, 5236, 7854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15697 and 15708. The biggest common factor number is the GCF number.
So the greatest common factor 15697 and 15708 is 11.

Also check out the Least Common Multiple of 15697 and 15708