What is the Greatest Common Factor of 88982 and 88990?

Greatest common factor (GCF) of 88982 and 88990 is 2.

GCF(88982,88990) = 2

We will now calculate the prime factors of 88982 and 88990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88982 and 88990.

How to find the GCF of 88982 and 88990?

We will first find the prime factorization of 88982 and 88990. After we will calculate the factors of 88982 and 88990 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 88990

Prime factors of 88990 are 2, 5, 11, 809. Prime factorization of 88990 in exponential form is:

88990 = 2¹ × 5¹ × 11¹ × 809¹

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 88990

List of positive integer factors of 88990 that divides 88982 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 809, 1618, 4045, 8090, 8899, 17798, 44495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88982 and 88990. The biggest common factor number is the GCF number.
So the greatest common factor 88982 and 88990 is 2.

Also check out the Least Common Multiple of 88982 and 88990