What is the Greatest Common Factor of 40940 and 40946?

Greatest common factor (GCF) of 40940 and 40946 is 2.

GCF(40940,40946) = 2

We will now calculate the prime factors of 40940 and 40946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40940 and 40946.

How to find the GCF of 40940 and 40946?

We will first find the prime factorization of 40940 and 40946. After we will calculate the factors of 40940 and 40946 and find the biggest common factor number .

Step-1: Prime Factorization of 40940

Prime factors of 40940 are 2, 5, 23, 89. Prime factorization of 40940 in exponential form is:

40940 = 2² × 5¹ × 23¹ × 89¹

Step-2: Prime Factorization of 40946

Prime factors of 40946 are 2, 59, 347. Prime factorization of 40946 in exponential form is:

40946 = 2¹ × 59¹ × 347¹

Step-3: Factors of 40940

List of positive integer factors of 40940 that divides 40940 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 89, 92, 115, 178, 230, 356, 445, 460, 890, 1780, 2047, 4094, 8188, 10235, 20470

Step-4: Factors of 40946

List of positive integer factors of 40946 that divides 40940 without a remainder.

1, 2, 59, 118, 347, 694, 20473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40940 and 40946. The biggest common factor number is the GCF number.
So the greatest common factor 40940 and 40946 is 2.

Also check out the Least Common Multiple of 40940 and 40946