What is the Greatest Common Factor of 87975 and 87995?

Greatest common factor (GCF) of 87975 and 87995 is 5.

GCF(87975,87995) = 5

We will now calculate the prime factors of 87975 and 87995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87975 and 87995.

How to find the GCF of 87975 and 87995?

We will first find the prime factorization of 87975 and 87995. After we will calculate the factors of 87975 and 87995 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 87995

Prime factors of 87995 are 5, 17599. Prime factorization of 87995 in exponential form is:

87995 = 5¹ × 17599¹

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 87995

List of positive integer factors of 87995 that divides 87975 without a remainder.

1, 5, 17599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87975 and 87995. The biggest common factor number is the GCF number.
So the greatest common factor 87975 and 87995 is 5.

Also check out the Least Common Multiple of 87975 and 87995