What is the Greatest Common Factor of 68474 and 68488?

Greatest common factor (GCF) of 68474 and 68488 is 14.

GCF(68474,68488) = 14

We will now calculate the prime factors of 68474 and 68488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68474 and 68488.

How to find the GCF of 68474 and 68488?

We will first find the prime factorization of 68474 and 68488. After we will calculate the factors of 68474 and 68488 and find the biggest common factor number .

Step-1: Prime Factorization of 68474

Prime factors of 68474 are 2, 7, 67, 73. Prime factorization of 68474 in exponential form is:

68474 = 2¹ × 7¹ × 67¹ × 73¹

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 68474

List of positive integer factors of 68474 that divides 68474 without a remainder.

1, 2, 7, 14, 67, 73, 134, 146, 469, 511, 938, 1022, 4891, 9782, 34237

Step-4: Factors of 68488

List of positive integer factors of 68488 that divides 68474 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 68474 and 68488. The biggest common factor number is the GCF number.
So the greatest common factor 68474 and 68488 is 14.

Also check out the Least Common Multiple of 68474 and 68488