What is the Greatest Common Factor of 88982 and 89002?

Greatest common factor (GCF) of 88982 and 89002 is 2.

GCF(88982,89002) = 2

We will now calculate the prime factors of 88982 and 89002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88982 and 89002.

How to find the GCF of 88982 and 89002?

We will first find the prime factorization of 88982 and 89002. After we will calculate the factors of 88982 and 89002 and find the biggest common factor number .

Step-1: Prime Factorization of 88982

Prime factors of 88982 are 2, 44491. Prime factorization of 88982 in exponential form is:

88982 = 2¹ × 44491¹

Step-2: Prime Factorization of 89002

Prime factors of 89002 are 2, 44501. Prime factorization of 89002 in exponential form is:

89002 = 2¹ × 44501¹

Step-3: Factors of 88982

List of positive integer factors of 88982 that divides 88982 without a remainder.

1, 2, 44491

Step-4: Factors of 89002

List of positive integer factors of 89002 that divides 88982 without a remainder.

1, 2, 44501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88982 and 89002. The biggest common factor number is the GCF number.
So the greatest common factor 88982 and 89002 is 2.

Also check out the Least Common Multiple of 88982 and 89002