What is the Greatest Common Factor of 87975 and 87990?

Greatest common factor (GCF) of 87975 and 87990 is 15.

GCF(87975,87990) = 15

We will now calculate the prime factors of 87975 and 87990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87975 and 87990.

How to find the GCF of 87975 and 87990?

We will first find the prime factorization of 87975 and 87990. After we will calculate the factors of 87975 and 87990 and find the biggest common factor number .

Step-1: Prime Factorization of 87975

Prime factors of 87975 are 3, 5, 17, 23. Prime factorization of 87975 in exponential form is:

87975 = 3² × 5² × 17¹ × 23¹

Step-2: Prime Factorization of 87990

Prime factors of 87990 are 2, 3, 5, 7, 419. Prime factorization of 87990 in exponential form is:

87990 = 2¹ × 3¹ × 5¹ × 7¹ × 419¹

Step-3: Factors of 87975

List of positive integer factors of 87975 that divides 87975 without a remainder.

1, 3, 5, 9, 15, 17, 23, 25, 45, 51, 69, 75, 85, 115, 153, 207, 225, 255, 345, 391, 425, 575, 765, 1035, 1173, 1275, 1725, 1955, 3519, 3825, 5175, 5865, 9775, 17595, 29325

Step-4: Factors of 87990

List of positive integer factors of 87990 that divides 87975 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 419, 838, 1257, 2095, 2514, 2933, 4190, 5866, 6285, 8799, 12570, 14665, 17598, 29330, 43995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87975 and 87990. The biggest common factor number is the GCF number.
So the greatest common factor 87975 and 87990 is 15.

Also check out the Least Common Multiple of 87975 and 87990