What is the Greatest Common Factor of 88971 and 88987?

Greatest common factor (GCF) of 88971 and 88987 is 1.

GCF(88971,88987) = 1

We will now calculate the prime factors of 88971 and 88987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88971 and 88987.

How to find the GCF of 88971 and 88987?

We will first find the prime factorization of 88971 and 88987. After we will calculate the factors of 88971 and 88987 and find the biggest common factor number .

Step-1: Prime Factorization of 88971

Prime factors of 88971 are 3, 47, 631. Prime factorization of 88971 in exponential form is:

88971 = 3¹ × 47¹ × 631¹

Step-2: Prime Factorization of 88987

Prime factors of 88987 are 23, 53, 73. Prime factorization of 88987 in exponential form is:

88987 = 23¹ × 53¹ × 73¹

Step-3: Factors of 88971

List of positive integer factors of 88971 that divides 88971 without a remainder.

1, 3, 47, 141, 631, 1893, 29657

Step-4: Factors of 88987

List of positive integer factors of 88987 that divides 88971 without a remainder.

1, 23, 53, 73, 1219, 1679, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88971 and 88987. The biggest common factor number is the GCF number.
So the greatest common factor 88971 and 88987 is 1.

Also check out the Least Common Multiple of 88971 and 88987