What is the Greatest Common Factor of 42688 and 42708?

Greatest common factor (GCF) of 42688 and 42708 is 4.

GCF(42688,42708) = 4

We will now calculate the prime factors of 42688 and 42708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42688 and 42708.

How to find the GCF of 42688 and 42708?

We will first find the prime factorization of 42688 and 42708. After we will calculate the factors of 42688 and 42708 and find the biggest common factor number .

Step-1: Prime Factorization of 42688

Prime factors of 42688 are 2, 23, 29. Prime factorization of 42688 in exponential form is:

42688 = 2⁶ × 23¹ × 29¹

Step-2: Prime Factorization of 42708

Prime factors of 42708 are 2, 3, 3559. Prime factorization of 42708 in exponential form is:

42708 = 2² × 3¹ × 3559¹

Step-3: Factors of 42688

List of positive integer factors of 42688 that divides 42688 without a remainder.

1, 2, 4, 8, 16, 23, 29, 32, 46, 58, 64, 92, 116, 184, 232, 368, 464, 667, 736, 928, 1334, 1472, 1856, 2668, 5336, 10672, 21344

Step-4: Factors of 42708

List of positive integer factors of 42708 that divides 42688 without a remainder.

1, 2, 3, 4, 6, 12, 3559, 7118, 10677, 14236, 21354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42688 and 42708. The biggest common factor number is the GCF number.
So the greatest common factor 42688 and 42708 is 4.

Also check out the Least Common Multiple of 42688 and 42708