What is the Greatest Common Factor of 23688 and 23702?

Greatest common factor (GCF) of 23688 and 23702 is 14.

GCF(23688,23702) = 14

We will now calculate the prime factors of 23688 and 23702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23688 and 23702.

How to find the GCF of 23688 and 23702?

We will first find the prime factorization of 23688 and 23702. After we will calculate the factors of 23688 and 23702 and find the biggest common factor number .

Step-1: Prime Factorization of 23688

Prime factors of 23688 are 2, 3, 7, 47. Prime factorization of 23688 in exponential form is:

23688 = 2³ × 3² × 7¹ × 47¹

Step-2: Prime Factorization of 23702

Prime factors of 23702 are 2, 7, 1693. Prime factorization of 23702 in exponential form is:

23702 = 2¹ × 7¹ × 1693¹

Step-3: Factors of 23688

List of positive integer factors of 23688 that divides 23688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 47, 56, 63, 72, 84, 94, 126, 141, 168, 188, 252, 282, 329, 376, 423, 504, 564, 658, 846, 987, 1128, 1316, 1692, 1974, 2632, 2961, 3384, 3948, 5922, 7896, 11844

Step-4: Factors of 23702

List of positive integer factors of 23702 that divides 23688 without a remainder.

1, 2, 7, 14, 1693, 3386, 11851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23688 and 23702. The biggest common factor number is the GCF number.
So the greatest common factor 23688 and 23702 is 14.

Also check out the Least Common Multiple of 23688 and 23702