What is the Greatest Common Factor of 80032 and 80042?

Greatest common factor (GCF) of 80032 and 80042 is 2.

GCF(80032,80042) = 2

We will now calculate the prime factors of 80032 and 80042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80032 and 80042.

How to find the GCF of 80032 and 80042?

We will first find the prime factorization of 80032 and 80042. After we will calculate the factors of 80032 and 80042 and find the biggest common factor number .

Step-1: Prime Factorization of 80032

Prime factors of 80032 are 2, 41, 61. Prime factorization of 80032 in exponential form is:

80032 = 2⁵ × 41¹ × 61¹

Step-2: Prime Factorization of 80042

Prime factors of 80042 are 2, 31, 1291. Prime factorization of 80042 in exponential form is:

80042 = 2¹ × 31¹ × 1291¹

Step-3: Factors of 80032

List of positive integer factors of 80032 that divides 80032 without a remainder.

1, 2, 4, 8, 16, 32, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 1312, 1952, 2501, 5002, 10004, 20008, 40016

Step-4: Factors of 80042

List of positive integer factors of 80042 that divides 80032 without a remainder.

1, 2, 31, 62, 1291, 2582, 40021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80032 and 80042. The biggest common factor number is the GCF number.
So the greatest common factor 80032 and 80042 is 2.

Also check out the Least Common Multiple of 80032 and 80042