What is the Greatest Common Factor of 67050 and 67062?

Greatest common factor (GCF) of 67050 and 67062 is 6.

GCF(67050,67062) = 6

We will now calculate the prime factors of 67050 and 67062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67050 and 67062.

How to find the GCF of 67050 and 67062?

We will first find the prime factorization of 67050 and 67062. After we will calculate the factors of 67050 and 67062 and find the biggest common factor number .

Step-1: Prime Factorization of 67050

Prime factors of 67050 are 2, 3, 5, 149. Prime factorization of 67050 in exponential form is:

67050 = 2¹ × 3² × 5² × 149¹

Step-2: Prime Factorization of 67062

Prime factors of 67062 are 2, 3, 11177. Prime factorization of 67062 in exponential form is:

67062 = 2¹ × 3¹ × 11177¹

Step-3: Factors of 67050

List of positive integer factors of 67050 that divides 67050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 149, 150, 225, 298, 447, 450, 745, 894, 1341, 1490, 2235, 2682, 3725, 4470, 6705, 7450, 11175, 13410, 22350, 33525

Step-4: Factors of 67062

List of positive integer factors of 67062 that divides 67050 without a remainder.

1, 2, 3, 6, 11177, 22354, 33531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67050 and 67062. The biggest common factor number is the GCF number.
So the greatest common factor 67050 and 67062 is 6.

Also check out the Least Common Multiple of 67050 and 67062