What is the Greatest Common Factor of 87744 and 87757?

Greatest common factor (GCF) of 87744 and 87757 is 1.

GCF(87744,87757) = 1

We will now calculate the prime factors of 87744 and 87757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87757.

How to find the GCF of 87744 and 87757?

We will first find the prime factorization of 87744 and 87757. After we will calculate the factors of 87744 and 87757 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87757

Prime factors of 87757 are 127, 691. Prime factorization of 87757 in exponential form is:

87757 = 127¹ × 691¹

Step-3: Factors of 87744

List of positive integer factors of 87744 that divides 87744 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

Step-4: Factors of 87757

List of positive integer factors of 87757 that divides 87744 without a remainder.

1, 127, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87757. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87757 is 1.

Also check out the Least Common Multiple of 87744 and 87757