What is the Greatest Common Factor of 67348 and 67360?

Greatest common factor (GCF) of 67348 and 67360 is 4.

GCF(67348,67360) = 4

We will now calculate the prime factors of 67348 and 67360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67348 and 67360.

How to find the GCF of 67348 and 67360?

We will first find the prime factorization of 67348 and 67360. After we will calculate the factors of 67348 and 67360 and find the biggest common factor number .

Step-1: Prime Factorization of 67348

Prime factors of 67348 are 2, 113, 149. Prime factorization of 67348 in exponential form is:

67348 = 2² × 113¹ × 149¹

Step-2: Prime Factorization of 67360

Prime factors of 67360 are 2, 5, 421. Prime factorization of 67360 in exponential form is:

67360 = 2⁵ × 5¹ × 421¹

Step-3: Factors of 67348

List of positive integer factors of 67348 that divides 67348 without a remainder.

1, 2, 4, 113, 149, 226, 298, 452, 596, 16837, 33674

Step-4: Factors of 67360

List of positive integer factors of 67360 that divides 67348 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 421, 842, 1684, 2105, 3368, 4210, 6736, 8420, 13472, 16840, 33680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67348 and 67360. The biggest common factor number is the GCF number.
So the greatest common factor 67348 and 67360 is 4.

Also check out the Least Common Multiple of 67348 and 67360