What is the Greatest Common Factor of 40140 and 40150?

Greatest common factor (GCF) of 40140 and 40150 is 10.

GCF(40140,40150) = 10

We will now calculate the prime factors of 40140 and 40150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40140 and 40150.

How to find the GCF of 40140 and 40150?

We will first find the prime factorization of 40140 and 40150. After we will calculate the factors of 40140 and 40150 and find the biggest common factor number .

Step-1: Prime Factorization of 40140

Prime factors of 40140 are 2, 3, 5, 223. Prime factorization of 40140 in exponential form is:

40140 = 2² × 3² × 5¹ × 223¹

Step-2: Prime Factorization of 40150

Prime factors of 40150 are 2, 5, 11, 73. Prime factorization of 40150 in exponential form is:

40150 = 2¹ × 5² × 11¹ × 73¹

Step-3: Factors of 40140

List of positive integer factors of 40140 that divides 40140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 223, 446, 669, 892, 1115, 1338, 2007, 2230, 2676, 3345, 4014, 4460, 6690, 8028, 10035, 13380, 20070

Step-4: Factors of 40150

List of positive integer factors of 40150 that divides 40140 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 73, 110, 146, 275, 365, 550, 730, 803, 1606, 1825, 3650, 4015, 8030, 20075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40140 and 40150. The biggest common factor number is the GCF number.
So the greatest common factor 40140 and 40150 is 10.

Also check out the Least Common Multiple of 40140 and 40150