What is the Greatest Common Factor of 40112 and 40132?

Greatest common factor (GCF) of 40112 and 40132 is 4.

GCF(40112,40132) = 4

We will now calculate the prime factors of 40112 and 40132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40112 and 40132.

How to find the GCF of 40112 and 40132?

We will first find the prime factorization of 40112 and 40132. After we will calculate the factors of 40112 and 40132 and find the biggest common factor number .

Step-1: Prime Factorization of 40112

Prime factors of 40112 are 2, 23, 109. Prime factorization of 40112 in exponential form is:

40112 = 2⁴ × 23¹ × 109¹

Step-2: Prime Factorization of 40132

Prime factors of 40132 are 2, 79, 127. Prime factorization of 40132 in exponential form is:

40132 = 2² × 79¹ × 127¹

Step-3: Factors of 40112

List of positive integer factors of 40112 that divides 40112 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 109, 184, 218, 368, 436, 872, 1744, 2507, 5014, 10028, 20056

Step-4: Factors of 40132

List of positive integer factors of 40132 that divides 40112 without a remainder.

1, 2, 4, 79, 127, 158, 254, 316, 508, 10033, 20066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40112 and 40132. The biggest common factor number is the GCF number.
So the greatest common factor 40112 and 40132 is 4.

Also check out the Least Common Multiple of 40112 and 40132