What is the Greatest Common Factor of 68480 and 68490?

Greatest common factor (GCF) of 68480 and 68490 is 10.

GCF(68480,68490) = 10

We will now calculate the prime factors of 68480 and 68490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68480 and 68490.

How to find the GCF of 68480 and 68490?

We will first find the prime factorization of 68480 and 68490. After we will calculate the factors of 68480 and 68490 and find the biggest common factor number .

Step-1: Prime Factorization of 68480

Prime factors of 68480 are 2, 5, 107. Prime factorization of 68480 in exponential form is:

68480 = 2⁷ × 5¹ × 107¹

Step-2: Prime Factorization of 68490

Prime factors of 68490 are 2, 3, 5, 761. Prime factorization of 68490 in exponential form is:

68490 = 2¹ × 3² × 5¹ × 761¹

Step-3: Factors of 68480

List of positive integer factors of 68480 that divides 68480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 107, 128, 160, 214, 320, 428, 535, 640, 856, 1070, 1712, 2140, 3424, 4280, 6848, 8560, 13696, 17120, 34240

Step-4: Factors of 68490

List of positive integer factors of 68490 that divides 68480 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 761, 1522, 2283, 3805, 4566, 6849, 7610, 11415, 13698, 22830, 34245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68480 and 68490. The biggest common factor number is the GCF number.
So the greatest common factor 68480 and 68490 is 10.

Also check out the Least Common Multiple of 68480 and 68490