What is the Greatest Common Factor of 46514 and 46522?

Greatest common factor (GCF) of 46514 and 46522 is 2.

GCF(46514,46522) = 2

We will now calculate the prime factors of 46514 and 46522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46514 and 46522.

How to find the GCF of 46514 and 46522?

We will first find the prime factorization of 46514 and 46522. After we will calculate the factors of 46514 and 46522 and find the biggest common factor number .

Step-1: Prime Factorization of 46514

Prime factors of 46514 are 2, 13, 1789. Prime factorization of 46514 in exponential form is:

46514 = 2¹ × 13¹ × 1789¹

Step-2: Prime Factorization of 46522

Prime factors of 46522 are 2, 7, 3323. Prime factorization of 46522 in exponential form is:

46522 = 2¹ × 7¹ × 3323¹

Step-3: Factors of 46514

List of positive integer factors of 46514 that divides 46514 without a remainder.

1, 2, 13, 26, 1789, 3578, 23257

Step-4: Factors of 46522

List of positive integer factors of 46522 that divides 46514 without a remainder.

1, 2, 7, 14, 3323, 6646, 23261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46514 and 46522. The biggest common factor number is the GCF number.
So the greatest common factor 46514 and 46522 is 2.

Also check out the Least Common Multiple of 46514 and 46522