What is the Greatest Common Factor of 87744 and 87762?

Greatest common factor (GCF) of 87744 and 87762 is 6.

GCF(87744,87762) = 6

We will now calculate the prime factors of 87744 and 87762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87744 and 87762.

How to find the GCF of 87744 and 87762?

We will first find the prime factorization of 87744 and 87762. After we will calculate the factors of 87744 and 87762 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 87762

Prime factors of 87762 are 2, 3, 14627. Prime factorization of 87762 in exponential form is:

87762 = 2¹ × 3¹ × 14627¹

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 87762

List of positive integer factors of 87762 that divides 87744 without a remainder.

1, 2, 3, 6, 14627, 29254, 43881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87744 and 87762. The biggest common factor number is the GCF number.
So the greatest common factor 87744 and 87762 is 6.

Also check out the Least Common Multiple of 87744 and 87762