What is the Greatest Common Factor of 67454 and 67460?

Greatest common factor (GCF) of 67454 and 67460 is 2.

GCF(67454,67460) = 2

We will now calculate the prime factors of 67454 and 67460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67454 and 67460.

How to find the GCF of 67454 and 67460?

We will first find the prime factorization of 67454 and 67460. After we will calculate the factors of 67454 and 67460 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 67460

Prime factors of 67460 are 2, 5, 3373. Prime factorization of 67460 in exponential form is:

67460 = 2² × 5¹ × 3373¹

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 67460

List of positive integer factors of 67460 that divides 67454 without a remainder.

1, 2, 4, 5, 10, 20, 3373, 6746, 13492, 16865, 33730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67454 and 67460. The biggest common factor number is the GCF number.
So the greatest common factor 67454 and 67460 is 2.

Also check out the Least Common Multiple of 67454 and 67460