What is the Greatest Common Factor of 87738 and 87744?

Greatest common factor (GCF) of 87738 and 87744 is 6.

GCF(87738,87744) = 6

We will now calculate the prime factors of 87738 and 87744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87738 and 87744.

How to find the GCF of 87738 and 87744?

We will first find the prime factorization of 87738 and 87744. After we will calculate the factors of 87738 and 87744 and find the biggest common factor number .

Step-1: Prime Factorization of 87738

Prime factors of 87738 are 2, 3, 7, 2089. Prime factorization of 87738 in exponential form is:

87738 = 2¹ × 3¹ × 7¹ × 2089¹

Step-2: Prime Factorization of 87744

Prime factors of 87744 are 2, 3, 457. Prime factorization of 87744 in exponential form is:

87744 = 2⁶ × 3¹ × 457¹

Step-3: Factors of 87738

List of positive integer factors of 87738 that divides 87738 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2089, 4178, 6267, 12534, 14623, 29246, 43869

Step-4: Factors of 87744

List of positive integer factors of 87744 that divides 87738 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968, 14624, 21936, 29248, 43872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87738 and 87744. The biggest common factor number is the GCF number.
So the greatest common factor 87738 and 87744 is 6.

Also check out the Least Common Multiple of 87738 and 87744