What is the Greatest Common Factor of 87875 and 87884?

Greatest common factor (GCF) of 87875 and 87884 is 1.

GCF(87875,87884) = 1

We will now calculate the prime factors of 87875 and 87884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87875 and 87884.

How to find the GCF of 87875 and 87884?

We will first find the prime factorization of 87875 and 87884. After we will calculate the factors of 87875 and 87884 and find the biggest common factor number .

Step-1: Prime Factorization of 87875

Prime factors of 87875 are 5, 19, 37. Prime factorization of 87875 in exponential form is:

87875 = 5³ × 19¹ × 37¹

Step-2: Prime Factorization of 87884

Prime factors of 87884 are 2, 127, 173. Prime factorization of 87884 in exponential form is:

87884 = 2² × 127¹ × 173¹

Step-3: Factors of 87875

List of positive integer factors of 87875 that divides 87875 without a remainder.

1, 5, 19, 25, 37, 95, 125, 185, 475, 703, 925, 2375, 3515, 4625, 17575

Step-4: Factors of 87884

List of positive integer factors of 87884 that divides 87875 without a remainder.

1, 2, 4, 127, 173, 254, 346, 508, 692, 21971, 43942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87875 and 87884. The biggest common factor number is the GCF number.
So the greatest common factor 87875 and 87884 is 1.

Also check out the Least Common Multiple of 87875 and 87884