What is the Greatest Common Factor of 68476 and 68488?

Greatest common factor (GCF) of 68476 and 68488 is 4.

GCF(68476,68488) = 4

We will now calculate the prime factors of 68476 and 68488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68476 and 68488.

How to find the GCF of 68476 and 68488?

We will first find the prime factorization of 68476 and 68488. After we will calculate the factors of 68476 and 68488 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 68488

Prime factors of 68488 are 2, 7, 1223. Prime factorization of 68488 in exponential form is:

68488 = 2³ × 7¹ × 1223¹

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 68488

List of positive integer factors of 68488 that divides 68476 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1223, 2446, 4892, 8561, 9784, 17122, 34244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68476 and 68488. The biggest common factor number is the GCF number.
So the greatest common factor 68476 and 68488 is 4.

Also check out the Least Common Multiple of 68476 and 68488