What is the Greatest Common Factor of 87808 and 87812?

Greatest common factor (GCF) of 87808 and 87812 is 4.

GCF(87808,87812) = 4

We will now calculate the prime factors of 87808 and 87812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87808 and 87812.

How to find the GCF of 87808 and 87812?

We will first find the prime factorization of 87808 and 87812. After we will calculate the factors of 87808 and 87812 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 87812

Prime factors of 87812 are 2, 29, 757. Prime factorization of 87812 in exponential form is:

87812 = 2² × 29¹ × 757¹

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 87812

List of positive integer factors of 87812 that divides 87808 without a remainder.

1, 2, 4, 29, 58, 116, 757, 1514, 3028, 21953, 43906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87808 and 87812. The biggest common factor number is the GCF number.
So the greatest common factor 87808 and 87812 is 4.

Also check out the Least Common Multiple of 87808 and 87812