What is the Greatest Common Factor of 67456 and 67474?

Greatest common factor (GCF) of 67456 and 67474 is 2.

GCF(67456,67474) = 2

We will now calculate the prime factors of 67456 and 67474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67456 and 67474.

How to find the GCF of 67456 and 67474?

We will first find the prime factorization of 67456 and 67474. After we will calculate the factors of 67456 and 67474 and find the biggest common factor number .

Step-1: Prime Factorization of 67456

Prime factors of 67456 are 2, 17, 31. Prime factorization of 67456 in exponential form is:

67456 = 2⁷ × 17¹ × 31¹

Step-2: Prime Factorization of 67474

Prime factors of 67474 are 2, 11, 3067. Prime factorization of 67474 in exponential form is:

67474 = 2¹ × 11¹ × 3067¹

Step-3: Factors of 67456

List of positive integer factors of 67456 that divides 67456 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 128, 136, 248, 272, 496, 527, 544, 992, 1054, 1088, 1984, 2108, 2176, 3968, 4216, 8432, 16864, 33728

Step-4: Factors of 67474

List of positive integer factors of 67474 that divides 67456 without a remainder.

1, 2, 11, 22, 3067, 6134, 33737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67456 and 67474. The biggest common factor number is the GCF number.
So the greatest common factor 67456 and 67474 is 2.

Also check out the Least Common Multiple of 67456 and 67474