What is the Greatest Common Factor of 68520 and 68536?

Greatest common factor (GCF) of 68520 and 68536 is 8.

GCF(68520,68536) = 8

We will now calculate the prime factors of 68520 and 68536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68520 and 68536.

How to find the GCF of 68520 and 68536?

We will first find the prime factorization of 68520 and 68536. After we will calculate the factors of 68520 and 68536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68536

Prime factors of 68536 are 2, 13, 659. Prime factorization of 68536 in exponential form is:

68536 = 2³ × 13¹ × 659¹

Step-3: Factors of 68520

List of positive integer factors of 68520 that divides 68520 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

Step-4: Factors of 68536

List of positive integer factors of 68536 that divides 68520 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 659, 1318, 2636, 5272, 8567, 17134, 34268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68520 and 68536. The biggest common factor number is the GCF number.
So the greatest common factor 68520 and 68536 is 8.

Also check out the Least Common Multiple of 68520 and 68536