What is the Greatest Common Factor of 68464 and 68474?

Greatest common factor (GCF) of 68464 and 68474 is 2.

GCF(68464,68474) = 2

We will now calculate the prime factors of 68464 and 68474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68464 and 68474.

How to find the GCF of 68464 and 68474?

We will first find the prime factorization of 68464 and 68474. After we will calculate the factors of 68464 and 68474 and find the biggest common factor number .

Step-1: Prime Factorization of 68464

Prime factors of 68464 are 2, 11, 389. Prime factorization of 68464 in exponential form is:

68464 = 2⁴ × 11¹ × 389¹

Step-2: 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-3: Factors of 68464

List of positive integer factors of 68464 that divides 68464 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 389, 778, 1556, 3112, 4279, 6224, 8558, 17116, 34232

Step-4: Factors of 68474

List of positive integer factors of 68474 that divides 68464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68464 and 68474. The biggest common factor number is the GCF number.
So the greatest common factor 68464 and 68474 is 2.

Also check out the Least Common Multiple of 68464 and 68474