What is the Greatest Common Factor of 40940 and 40952?

Greatest common factor (GCF) of 40940 and 40952 is 4.

GCF(40940,40952) = 4

We will now calculate the prime factors of 40940 and 40952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40940 and 40952.

How to find the GCF of 40940 and 40952?

We will first find the prime factorization of 40940 and 40952. After we will calculate the factors of 40940 and 40952 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 40952

Prime factors of 40952 are 2, 5119. Prime factorization of 40952 in exponential form is:

40952 = 2³ × 5119¹

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 40952

List of positive integer factors of 40952 that divides 40940 without a remainder.

1, 2, 4, 8, 5119, 10238, 20476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40940 and 40952. The biggest common factor number is the GCF number.
So the greatest common factor 40940 and 40952 is 4.

Also check out the Least Common Multiple of 40940 and 40952