What is the Greatest Common Factor of 61314 and 61334?

Greatest common factor (GCF) of 61314 and 61334 is 2.

GCF(61314,61334) = 2

We will now calculate the prime factors of 61314 and 61334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61314 and 61334.

How to find the GCF of 61314 and 61334?

We will first find the prime factorization of 61314 and 61334. After we will calculate the factors of 61314 and 61334 and find the biggest common factor number .

Step-1: Prime Factorization of 61314

Prime factors of 61314 are 2, 3, 11, 929. Prime factorization of 61314 in exponential form is:

61314 = 2¹ × 3¹ × 11¹ × 929¹

Step-2: 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-3: Factors of 61314

List of positive integer factors of 61314 that divides 61314 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 929, 1858, 2787, 5574, 10219, 20438, 30657

Step-4: Factors of 61334

List of positive integer factors of 61334 that divides 61314 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61314 and 61334. The biggest common factor number is the GCF number.
So the greatest common factor 61314 and 61334 is 2.

Also check out the Least Common Multiple of 61314 and 61334