What is the Greatest Common Factor of 68460 and 68472?

Greatest common factor (GCF) of 68460 and 68472 is 12.

GCF(68460,68472) = 12

We will now calculate the prime factors of 68460 and 68472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68460 and 68472.

How to find the GCF of 68460 and 68472?

We will first find the prime factorization of 68460 and 68472. After we will calculate the factors of 68460 and 68472 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 68472

Prime factors of 68472 are 2, 3, 317. Prime factorization of 68472 in exponential form is:

68472 = 2³ × 3³ × 317¹

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 68472

List of positive integer factors of 68472 that divides 68460 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5706, 7608, 8559, 11412, 17118, 22824, 34236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68460 and 68472. The biggest common factor number is the GCF number.
So the greatest common factor 68460 and 68472 is 12.

Also check out the Least Common Multiple of 68460 and 68472