What is the Greatest Common Factor of 87975 and 87992?

Greatest common factor (GCF) of 87975 and 87992 is 17.

GCF(87975,87992) = 17

We will now calculate the prime factors of 87975 and 87992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87975 and 87992.

How to find the GCF of 87975 and 87992?

We will first find the prime factorization of 87975 and 87992. After we will calculate the factors of 87975 and 87992 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 87992

Prime factors of 87992 are 2, 17, 647. Prime factorization of 87992 in exponential form is:

87992 = 2³ × 17¹ × 647¹

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 87992

List of positive integer factors of 87992 that divides 87975 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 647, 1294, 2588, 5176, 10999, 21998, 43996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87975 and 87992. The biggest common factor number is the GCF number.
So the greatest common factor 87975 and 87992 is 17.

Also check out the Least Common Multiple of 87975 and 87992