What is the Greatest Common Factor of 40050 and 40070?

Greatest common factor (GCF) of 40050 and 40070 is 10.

GCF(40050,40070) = 10

We will now calculate the prime factors of 40050 and 40070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40050 and 40070.

How to find the GCF of 40050 and 40070?

We will first find the prime factorization of 40050 and 40070. After we will calculate the factors of 40050 and 40070 and find the biggest common factor number .

Step-1: Prime Factorization of 40050

Prime factors of 40050 are 2, 3, 5, 89. Prime factorization of 40050 in exponential form is:

40050 = 2¹ × 3² × 5² × 89¹

Step-2: 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-3: Factors of 40050

List of positive integer factors of 40050 that divides 40050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 89, 90, 150, 178, 225, 267, 445, 450, 534, 801, 890, 1335, 1602, 2225, 2670, 4005, 4450, 6675, 8010, 13350, 20025

Step-4: Factors of 40070

List of positive integer factors of 40070 that divides 40050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40050 and 40070. The biggest common factor number is the GCF number.
So the greatest common factor 40050 and 40070 is 10.

Also check out the Least Common Multiple of 40050 and 40070