What is the Greatest Common Factor of 10035 and 10050?

Greatest common factor (GCF) of 10035 and 10050 is 15.

GCF(10035,10050) = 15

We will now calculate the prime factors of 10035 and 10050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10035 and 10050.

How to find the GCF of 10035 and 10050?

We will first find the prime factorization of 10035 and 10050. After we will calculate the factors of 10035 and 10050 and find the biggest common factor number .

Step-1: Prime Factorization of 10035

Prime factors of 10035 are 3, 5, 223. Prime factorization of 10035 in exponential form is:

10035 = 3² × 5¹ × 223¹

Step-2: Prime Factorization of 10050

Prime factors of 10050 are 2, 3, 5, 67. Prime factorization of 10050 in exponential form is:

10050 = 2¹ × 3¹ × 5² × 67¹

Step-3: Factors of 10035

List of positive integer factors of 10035 that divides 10035 without a remainder.

1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345

Step-4: Factors of 10050

List of positive integer factors of 10050 that divides 10035 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 134, 150, 201, 335, 402, 670, 1005, 1675, 2010, 3350, 5025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10035 and 10050. The biggest common factor number is the GCF number.
So the greatest common factor 10035 and 10050 is 15.

Also check out the Least Common Multiple of 10035 and 10050