What is the Greatest Common Factor of 67710 and 67730?

Greatest common factor (GCF) of 67710 and 67730 is 10.

GCF(67710,67730) = 10

We will now calculate the prime factors of 67710 and 67730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67710 and 67730.

How to find the GCF of 67710 and 67730?

We will first find the prime factorization of 67710 and 67730. After we will calculate the factors of 67710 and 67730 and find the biggest common factor number .

Step-1: Prime Factorization of 67710

Prime factors of 67710 are 2, 3, 5, 37, 61. Prime factorization of 67710 in exponential form is:

67710 = 2¹ × 3¹ × 5¹ × 37¹ × 61¹

Step-2: Prime Factorization of 67730

Prime factors of 67730 are 2, 5, 13, 521. Prime factorization of 67730 in exponential form is:

67730 = 2¹ × 5¹ × 13¹ × 521¹

Step-3: Factors of 67710

List of positive integer factors of 67710 that divides 67710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 61, 74, 111, 122, 183, 185, 222, 305, 366, 370, 555, 610, 915, 1110, 1830, 2257, 4514, 6771, 11285, 13542, 22570, 33855

Step-4: Factors of 67730

List of positive integer factors of 67730 that divides 67710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 521, 1042, 2605, 5210, 6773, 13546, 33865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67710 and 67730. The biggest common factor number is the GCF number.
So the greatest common factor 67710 and 67730 is 10.

Also check out the Least Common Multiple of 67710 and 67730