What is the Greatest Common Factor of 87808 and 87821?

Greatest common factor (GCF) of 87808 and 87821 is 1.

GCF(87808,87821) = 1

We will now calculate the prime factors of 87808 and 87821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87808 and 87821.

How to find the GCF of 87808 and 87821?

We will first find the prime factorization of 87808 and 87821. After we will calculate the factors of 87808 and 87821 and find the biggest common factor number .

Step-1: Prime Factorization of 87808

Prime factors of 87808 are 2, 7. Prime factorization of 87808 in exponential form is:

87808 = 2⁸ × 7³

Step-2: Prime Factorization of 87821

Prime factors of 87821 are 53, 1657. Prime factorization of 87821 in exponential form is:

87821 = 53¹ × 1657¹

Step-3: Factors of 87808

List of positive integer factors of 87808 that divides 87808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 343, 392, 448, 686, 784, 896, 1372, 1568, 1792, 2744, 3136, 5488, 6272, 10976, 12544, 21952, 43904

Step-4: Factors of 87821

List of positive integer factors of 87821 that divides 87808 without a remainder.

1, 53, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87808 and 87821. The biggest common factor number is the GCF number.
So the greatest common factor 87808 and 87821 is 1.

Also check out the Least Common Multiple of 87808 and 87821