What is the Greatest Common Factor of 87825 and 87837?

Greatest common factor (GCF) of 87825 and 87837 is 3.

GCF(87825,87837) = 3

We will now calculate the prime factors of 87825 and 87837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87825 and 87837.

How to find the GCF of 87825 and 87837?

We will first find the prime factorization of 87825 and 87837. After we will calculate the factors of 87825 and 87837 and find the biggest common factor number .

Step-1: Prime Factorization of 87825

Prime factors of 87825 are 3, 5, 1171. Prime factorization of 87825 in exponential form is:

87825 = 3¹ × 5² × 1171¹

Step-2: Prime Factorization of 87837

Prime factors of 87837 are 3, 19, 23, 67. Prime factorization of 87837 in exponential form is:

87837 = 3¹ × 19¹ × 23¹ × 67¹

Step-3: Factors of 87825

List of positive integer factors of 87825 that divides 87825 without a remainder.

1, 3, 5, 15, 25, 75, 1171, 3513, 5855, 17565, 29275

Step-4: Factors of 87837

List of positive integer factors of 87837 that divides 87825 without a remainder.

1, 3, 19, 23, 57, 67, 69, 201, 437, 1273, 1311, 1541, 3819, 4623, 29279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87825 and 87837. The biggest common factor number is the GCF number.
So the greatest common factor 87825 and 87837 is 3.

Also check out the Least Common Multiple of 87825 and 87837