What is the Greatest Common Factor of 68460 and 68469?

Greatest common factor (GCF) of 68460 and 68469 is 3.

GCF(68460,68469) = 3

We will now calculate the prime factors of 68460 and 68469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68460 and 68469.

How to find the GCF of 68460 and 68469?

We will first find the prime factorization of 68460 and 68469. After we will calculate the factors of 68460 and 68469 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 68469

Prime factors of 68469 are 3, 29, 787. Prime factorization of 68469 in exponential form is:

68469 = 3¹ × 29¹ × 787¹

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 68469

List of positive integer factors of 68469 that divides 68460 without a remainder.

1, 3, 29, 87, 787, 2361, 22823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68460 and 68469. The biggest common factor number is the GCF number.
So the greatest common factor 68460 and 68469 is 3.

Also check out the Least Common Multiple of 68460 and 68469