What is the Greatest Common Factor of 40070 and 40084?

Greatest common factor (GCF) of 40070 and 40084 is 2.

GCF(40070,40084) = 2

We will now calculate the prime factors of 40070 and 40084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40070 and 40084.

How to find the GCF of 40070 and 40084?

We will first find the prime factorization of 40070 and 40084. After we will calculate the factors of 40070 and 40084 and find the biggest common factor number .

Step-1: Prime Factorization of 40070

Prime factors of 40070 are 2, 5, 4007. Prime factorization of 40070 in exponential form is:

40070 = 2¹ × 5¹ × 4007¹

Step-2: Prime Factorization of 40084

Prime factors of 40084 are 2, 11, 911. Prime factorization of 40084 in exponential form is:

40084 = 2² × 11¹ × 911¹

Step-3: Factors of 40070

List of positive integer factors of 40070 that divides 40070 without a remainder.

1, 2, 5, 10, 4007, 8014, 20035

Step-4: Factors of 40084

List of positive integer factors of 40084 that divides 40070 without a remainder.

1, 2, 4, 11, 22, 44, 911, 1822, 3644, 10021, 20042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40070 and 40084. The biggest common factor number is the GCF number.
So the greatest common factor 40070 and 40084 is 2.

Also check out the Least Common Multiple of 40070 and 40084