What is the Greatest Common Factor of 68460 and 68470?

Greatest common factor (GCF) of 68460 and 68470 is 10.

GCF(68460,68470) = 10

We will now calculate the prime factors of 68460 and 68470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68460 and 68470.

How to find the GCF of 68460 and 68470?

We will first find the prime factorization of 68460 and 68470. After we will calculate the factors of 68460 and 68470 and find the biggest common factor number .

Step-1: Prime Factorization of 68460

Prime factors of 68460 are 2, 3, 5, 7, 163. Prime factorization of 68460 in exponential form is:

68460 = 2² × 3¹ × 5¹ × 7¹ × 163¹

Step-2: Prime Factorization of 68470

Prime factors of 68470 are 2, 5, 41, 167. Prime factorization of 68470 in exponential form is:

68470 = 2¹ × 5¹ × 41¹ × 167¹

Step-3: Factors of 68460

List of positive integer factors of 68460 that divides 68460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 163, 210, 326, 420, 489, 652, 815, 978, 1141, 1630, 1956, 2282, 2445, 3260, 3423, 4564, 4890, 5705, 6846, 9780, 11410, 13692, 17115, 22820, 34230

Step-4: Factors of 68470

List of positive integer factors of 68470 that divides 68460 without a remainder.

1, 2, 5, 10, 41, 82, 167, 205, 334, 410, 835, 1670, 6847, 13694, 34235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68460 and 68470. The biggest common factor number is the GCF number.
So the greatest common factor 68460 and 68470 is 10.

Also check out the Least Common Multiple of 68460 and 68470