What is the Greatest Common Factor of 40976 and 40989?

Greatest common factor (GCF) of 40976 and 40989 is 13.

GCF(40976,40989) = 13

We will now calculate the prime factors of 40976 and 40989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40976 and 40989.

How to find the GCF of 40976 and 40989?

We will first find the prime factorization of 40976 and 40989. After we will calculate the factors of 40976 and 40989 and find the biggest common factor number .

Step-1: Prime Factorization of 40976

Prime factors of 40976 are 2, 13, 197. Prime factorization of 40976 in exponential form is:

40976 = 2⁴ × 13¹ × 197¹

Step-2: Prime Factorization of 40989

Prime factors of 40989 are 3, 13, 1051. Prime factorization of 40989 in exponential form is:

40989 = 3¹ × 13¹ × 1051¹

Step-3: Factors of 40976

List of positive integer factors of 40976 that divides 40976 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 197, 208, 394, 788, 1576, 2561, 3152, 5122, 10244, 20488

Step-4: Factors of 40989

List of positive integer factors of 40989 that divides 40976 without a remainder.

1, 3, 13, 39, 1051, 3153, 13663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40976 and 40989. The biggest common factor number is the GCF number.
So the greatest common factor 40976 and 40989 is 13.

Also check out the Least Common Multiple of 40976 and 40989