What is the Greatest Common Factor of 90970 and 90981?

Greatest common factor (GCF) of 90970 and 90981 is 11.

GCF(90970,90981) = 11

We will now calculate the prime factors of 90970 and 90981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90970 and 90981.

How to find the GCF of 90970 and 90981?

We will first find the prime factorization of 90970 and 90981. After we will calculate the factors of 90970 and 90981 and find the biggest common factor number .

Step-1: Prime Factorization of 90970

Prime factors of 90970 are 2, 5, 11, 827. Prime factorization of 90970 in exponential form is:

90970 = 2¹ × 5¹ × 11¹ × 827¹

Step-2: Prime Factorization of 90981

Prime factors of 90981 are 3, 11, 919. Prime factorization of 90981 in exponential form is:

90981 = 3² × 11¹ × 919¹

Step-3: Factors of 90970

List of positive integer factors of 90970 that divides 90970 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 827, 1654, 4135, 8270, 9097, 18194, 45485

Step-4: Factors of 90981

List of positive integer factors of 90981 that divides 90970 without a remainder.

1, 3, 9, 11, 33, 99, 919, 2757, 8271, 10109, 30327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90970 and 90981. The biggest common factor number is the GCF number.
So the greatest common factor 90970 and 90981 is 11.

Also check out the Least Common Multiple of 90970 and 90981