What is the Greatest Common Factor of 8972 and 8990?

Greatest common factor (GCF) of 8972 and 8990 is 2.

GCF(8972,8990) = 2

We will now calculate the prime factors of 8972 and 8990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8972 and 8990.

How to find the GCF of 8972 and 8990?

We will first find the prime factorization of 8972 and 8990. After we will calculate the factors of 8972 and 8990 and find the biggest common factor number .

Step-1: Prime Factorization of 8972

Prime factors of 8972 are 2, 2243. Prime factorization of 8972 in exponential form is:

8972 = 2² × 2243¹

Step-2: Prime Factorization of 8990

Prime factors of 8990 are 2, 5, 29, 31. Prime factorization of 8990 in exponential form is:

8990 = 2¹ × 5¹ × 29¹ × 31¹

Step-3: Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1, 2, 4, 2243, 4486

Step-4: Factors of 8990

List of positive integer factors of 8990 that divides 8972 without a remainder.

1, 2, 5, 10, 29, 31, 58, 62, 145, 155, 290, 310, 899, 1798, 4495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8972 and 8990. The biggest common factor number is the GCF number.
So the greatest common factor 8972 and 8990 is 2.

Also check out the Least Common Multiple of 8972 and 8990