What is the Greatest Common Factor of 68500 and 68520?

Greatest common factor (GCF) of 68500 and 68520 is 20.

GCF(68500,68520) = 20

We will now calculate the prime factors of 68500 and 68520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68500 and 68520.

How to find the GCF of 68500 and 68520?

We will first find the prime factorization of 68500 and 68520. After we will calculate the factors of 68500 and 68520 and find the biggest common factor number .

Step-1: Prime Factorization of 68500

Prime factors of 68500 are 2, 5, 137. Prime factorization of 68500 in exponential form is:

68500 = 2² × 5³ × 137¹

Step-2: Prime Factorization of 68520

Prime factors of 68520 are 2, 3, 5, 571. Prime factorization of 68520 in exponential form is:

68520 = 2³ × 3¹ × 5¹ × 571¹

Step-3: Factors of 68500

List of positive integer factors of 68500 that divides 68500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 137, 250, 274, 500, 548, 685, 1370, 2740, 3425, 6850, 13700, 17125, 34250

Step-4: Factors of 68520

List of positive integer factors of 68520 that divides 68500 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 571, 1142, 1713, 2284, 2855, 3426, 4568, 5710, 6852, 8565, 11420, 13704, 17130, 22840, 34260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68500 and 68520. The biggest common factor number is the GCF number.
So the greatest common factor 68500 and 68520 is 20.

Also check out the Least Common Multiple of 68500 and 68520