What is the Greatest Common Factor of 46514 and 46532?

Greatest common factor (GCF) of 46514 and 46532 is 2.

GCF(46514,46532) = 2

We will now calculate the prime factors of 46514 and 46532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46514 and 46532.

How to find the GCF of 46514 and 46532?

We will first find the prime factorization of 46514 and 46532. After we will calculate the factors of 46514 and 46532 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 46532

Prime factors of 46532 are 2, 11633. Prime factorization of 46532 in exponential form is:

46532 = 2² × 11633¹

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 46532

List of positive integer factors of 46532 that divides 46514 without a remainder.

1, 2, 4, 11633, 23266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46514 and 46532. The biggest common factor number is the GCF number.
So the greatest common factor 46514 and 46532 is 2.

Also check out the Least Common Multiple of 46514 and 46532