What is the Greatest Common Factor of 38688 and 38703?

Greatest common factor (GCF) of 38688 and 38703 is 3.

GCF(38688,38703) = 3

We will now calculate the prime factors of 38688 and 38703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38688 and 38703.

How to find the GCF of 38688 and 38703?

We will first find the prime factorization of 38688 and 38703. After we will calculate the factors of 38688 and 38703 and find the biggest common factor number .

Step-1: Prime Factorization of 38688

Prime factors of 38688 are 2, 3, 13, 31. Prime factorization of 38688 in exponential form is:

38688 = 2⁵ × 3¹ × 13¹ × 31¹

Step-2: Prime Factorization of 38703

Prime factors of 38703 are 3, 7, 19, 97. Prime factorization of 38703 in exponential form is:

38703 = 3¹ × 7¹ × 19¹ × 97¹

Step-3: Factors of 38688

List of positive integer factors of 38688 that divides 38688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 31, 32, 39, 48, 52, 62, 78, 93, 96, 104, 124, 156, 186, 208, 248, 312, 372, 403, 416, 496, 624, 744, 806, 992, 1209, 1248, 1488, 1612, 2418, 2976, 3224, 4836, 6448, 9672, 12896, 19344

Step-4: Factors of 38703

List of positive integer factors of 38703 that divides 38688 without a remainder.

1, 3, 7, 19, 21, 57, 97, 133, 291, 399, 679, 1843, 2037, 5529, 12901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38688 and 38703. The biggest common factor number is the GCF number.
So the greatest common factor 38688 and 38703 is 3.

Also check out the Least Common Multiple of 38688 and 38703