What is the Greatest Common Factor of 68476 and 68480?

Greatest common factor (GCF) of 68476 and 68480 is 4.

GCF(68476,68480) = 4

We will now calculate the prime factors of 68476 and 68480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68476 and 68480.

How to find the GCF of 68476 and 68480?

We will first find the prime factorization of 68476 and 68480. After we will calculate the factors of 68476 and 68480 and find the biggest common factor number .

Step-1: Prime Factorization of 68476

Prime factors of 68476 are 2, 17, 19, 53. Prime factorization of 68476 in exponential form is:

68476 = 2² × 17¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 68476

List of positive integer factors of 68476 that divides 68476 without a remainder.

1, 2, 4, 17, 19, 34, 38, 53, 68, 76, 106, 212, 323, 646, 901, 1007, 1292, 1802, 2014, 3604, 4028, 17119, 34238

Step-4: Factors of 68480

List of positive integer factors of 68480 that divides 68476 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68476 and 68480. The biggest common factor number is the GCF number.
So the greatest common factor 68476 and 68480 is 4.

Also check out the Least Common Multiple of 68476 and 68480