What is the Greatest Common Factor of 67454 and 67472?

Greatest common factor (GCF) of 67454 and 67472 is 2.

GCF(67454,67472) = 2

We will now calculate the prime factors of 67454 and 67472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67454 and 67472.

How to find the GCF of 67454 and 67472?

We will first find the prime factorization of 67454 and 67472. After we will calculate the factors of 67454 and 67472 and find the biggest common factor number .

Step-1: Prime Factorization of 67454

Prime factors of 67454 are 2, 29, 1163. Prime factorization of 67454 in exponential form is:

67454 = 2¹ × 29¹ × 1163¹

Step-2: Prime Factorization of 67472

Prime factors of 67472 are 2, 4217. Prime factorization of 67472 in exponential form is:

67472 = 2⁴ × 4217¹

Step-3: Factors of 67454

List of positive integer factors of 67454 that divides 67454 without a remainder.

1, 2, 29, 58, 1163, 2326, 33727

Step-4: Factors of 67472

List of positive integer factors of 67472 that divides 67454 without a remainder.

1, 2, 4, 8, 16, 4217, 8434, 16868, 33736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67454 and 67472. The biggest common factor number is the GCF number.
So the greatest common factor 67454 and 67472 is 2.

Also check out the Least Common Multiple of 67454 and 67472