What is the Greatest Common Factor of 61334 and 61348?

Greatest common factor (GCF) of 61334 and 61348 is 14.

GCF(61334,61348) = 14

We will now calculate the prime factors of 61334 and 61348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61334 and 61348.

How to find the GCF of 61334 and 61348?

We will first find the prime factorization of 61334 and 61348. After we will calculate the factors of 61334 and 61348 and find the biggest common factor number .

Step-1: Prime Factorization of 61334

Prime factors of 61334 are 2, 7, 13, 337. Prime factorization of 61334 in exponential form is:

61334 = 2¹ × 7¹ × 13¹ × 337¹

Step-2: Prime Factorization of 61348

Prime factors of 61348 are 2, 7, 313. Prime factorization of 61348 in exponential form is:

61348 = 2² × 7² × 313¹

Step-3: Factors of 61334

List of positive integer factors of 61334 that divides 61334 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 337, 674, 2359, 4381, 4718, 8762, 30667

Step-4: Factors of 61348

List of positive integer factors of 61348 that divides 61334 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 313, 626, 1252, 2191, 4382, 8764, 15337, 30674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61334 and 61348. The biggest common factor number is the GCF number.
So the greatest common factor 61334 and 61348 is 14.

Also check out the Least Common Multiple of 61334 and 61348