What is the Greatest Common Factor of 87810 and 87825?

Greatest common factor (GCF) of 87810 and 87825 is 15.

GCF(87810,87825) = 15

We will now calculate the prime factors of 87810 and 87825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87810 and 87825.

How to find the GCF of 87810 and 87825?

We will first find the prime factorization of 87810 and 87825. After we will calculate the factors of 87810 and 87825 and find the biggest common factor number .

Step-1: Prime Factorization of 87810

Prime factors of 87810 are 2, 3, 5, 2927. Prime factorization of 87810 in exponential form is:

87810 = 2¹ × 3¹ × 5¹ × 2927¹

Step-2: 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-3: Factors of 87810

List of positive integer factors of 87810 that divides 87810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2927, 5854, 8781, 14635, 17562, 29270, 43905

Step-4: Factors of 87825

List of positive integer factors of 87825 that divides 87810 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87810 and 87825. The biggest common factor number is the GCF number.
So the greatest common factor 87810 and 87825 is 15.

Also check out the Least Common Multiple of 87810 and 87825