What is the Greatest Common Factor of 67050 and 67070?

Greatest common factor (GCF) of 67050 and 67070 is 10.

GCF(67050,67070) = 10

We will now calculate the prime factors of 67050 and 67070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67050 and 67070.

How to find the GCF of 67050 and 67070?

We will first find the prime factorization of 67050 and 67070. After we will calculate the factors of 67050 and 67070 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 67070

Prime factors of 67070 are 2, 5, 19, 353. Prime factorization of 67070 in exponential form is:

67070 = 2¹ × 5¹ × 19¹ × 353¹

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 67070

List of positive integer factors of 67070 that divides 67050 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 353, 706, 1765, 3530, 6707, 13414, 33535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67050 and 67070. The biggest common factor number is the GCF number.
So the greatest common factor 67050 and 67070 is 10.

Also check out the Least Common Multiple of 67050 and 67070