What is the Greatest Common Factor of 5314 and 5334?

Greatest common factor (GCF) of 5314 and 5334 is 2.

GCF(5314,5334) = 2

We will now calculate the prime factors of 5314 and 5334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5314 and 5334.

How to find the GCF of 5314 and 5334?

We will first find the prime factorization of 5314 and 5334. After we will calculate the factors of 5314 and 5334 and find the biggest common factor number .

Step-1: Prime Factorization of 5314

Prime factors of 5314 are 2, 2657. Prime factorization of 5314 in exponential form is:

5314 = 2¹ × 2657¹

Step-2: Prime Factorization of 5334

Prime factors of 5334 are 2, 3, 7, 127. Prime factorization of 5334 in exponential form is:

5334 = 2¹ × 3¹ × 7¹ × 127¹

Step-3: Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1, 2, 2657

Step-4: Factors of 5334

List of positive integer factors of 5334 that divides 5314 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5314 and 5334. The biggest common factor number is the GCF number.
So the greatest common factor 5314 and 5334 is 2.

Also check out the Least Common Multiple of 5314 and 5334