What is the Greatest Common Factor of 46700 and 46714?

Greatest common factor (GCF) of 46700 and 46714 is 2.

GCF(46700,46714) = 2

We will now calculate the prime factors of 46700 and 46714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46700 and 46714.

How to find the GCF of 46700 and 46714?

We will first find the prime factorization of 46700 and 46714. After we will calculate the factors of 46700 and 46714 and find the biggest common factor number .

Step-1: Prime Factorization of 46700

Prime factors of 46700 are 2, 5, 467. Prime factorization of 46700 in exponential form is:

46700 = 2² × 5² × 467¹

Step-2: Prime Factorization of 46714

Prime factors of 46714 are 2, 23357. Prime factorization of 46714 in exponential form is:

46714 = 2¹ × 23357¹

Step-3: Factors of 46700

List of positive integer factors of 46700 that divides 46700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 467, 934, 1868, 2335, 4670, 9340, 11675, 23350

Step-4: Factors of 46714

List of positive integer factors of 46714 that divides 46700 without a remainder.

1, 2, 23357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46700 and 46714. The biggest common factor number is the GCF number.
So the greatest common factor 46700 and 46714 is 2.

Also check out the Least Common Multiple of 46700 and 46714