What is the Greatest Common Factor of 40070 and 40080?

Greatest common factor (GCF) of 40070 and 40080 is 10.

GCF(40070,40080) = 10

We will now calculate the prime factors of 40070 and 40080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40070 and 40080.

How to find the GCF of 40070 and 40080?

We will first find the prime factorization of 40070 and 40080. After we will calculate the factors of 40070 and 40080 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 40080

Prime factors of 40080 are 2, 3, 5, 167. Prime factorization of 40080 in exponential form is:

40080 = 2⁴ × 3¹ × 5¹ × 167¹

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 40080

List of positive integer factors of 40080 that divides 40070 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 167, 240, 334, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 2672, 3340, 4008, 5010, 6680, 8016, 10020, 13360, 20040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40070 and 40080. The biggest common factor number is the GCF number.
So the greatest common factor 40070 and 40080 is 10.

Also check out the Least Common Multiple of 40070 and 40080