What is the Greatest Common Factor of 88979 and 88990?

Greatest common factor (GCF) of 88979 and 88990 is 11.

GCF(88979,88990) = 11

We will now calculate the prime factors of 88979 and 88990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88979 and 88990.

How to find the GCF of 88979 and 88990?

We will first find the prime factorization of 88979 and 88990. After we will calculate the factors of 88979 and 88990 and find the biggest common factor number .

Step-1: Prime Factorization of 88979

Prime factors of 88979 are 11, 8089. Prime factorization of 88979 in exponential form is:

88979 = 11¹ × 8089¹

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 88979

List of positive integer factors of 88979 that divides 88979 without a remainder.

1, 11, 8089

Step-4: Factors of 88990

List of positive integer factors of 88990 that divides 88979 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 88979 and 88990. The biggest common factor number is the GCF number.
So the greatest common factor 88979 and 88990 is 11.

Also check out the Least Common Multiple of 88979 and 88990