What is the Greatest Common Factor of 4140 and 4150?

Greatest common factor (GCF) of 4140 and 4150 is 10.

GCF(4140,4150) = 10

We will now calculate the prime factors of 4140 and 4150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4140 and 4150.

How to find the GCF of 4140 and 4150?

We will first find the prime factorization of 4140 and 4150. After we will calculate the factors of 4140 and 4150 and find the biggest common factor number .

Step-1: Prime Factorization of 4140

Prime factors of 4140 are 2, 3, 5, 23. Prime factorization of 4140 in exponential form is:

4140 = 2² × 3² × 5¹ × 23¹

Step-2: Prime Factorization of 4150

Prime factors of 4150 are 2, 5, 83. Prime factorization of 4150 in exponential form is:

4150 = 2¹ × 5² × 83¹

Step-3: Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070

Step-4: Factors of 4150

List of positive integer factors of 4150 that divides 4140 without a remainder.

1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4140 and 4150. The biggest common factor number is the GCF number.
So the greatest common factor 4140 and 4150 is 10.

Also check out the Least Common Multiple of 4140 and 4150