What is the Greatest Common Factor of 46714 and 46730?

Greatest common factor (GCF) of 46714 and 46730 is 2.

GCF(46714,46730) = 2

We will now calculate the prime factors of 46714 and 46730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46714 and 46730.

How to find the GCF of 46714 and 46730?

We will first find the prime factorization of 46714 and 46730. After we will calculate the factors of 46714 and 46730 and find the biggest common factor number .

Step-1: Prime Factorization of 46714

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

46714 = 2¹ × 23357¹

Step-2: Prime Factorization of 46730

Prime factors of 46730 are 2, 5, 4673. Prime factorization of 46730 in exponential form is:

46730 = 2¹ × 5¹ × 4673¹

Step-3: Factors of 46714

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

1, 2, 23357

Step-4: Factors of 46730

List of positive integer factors of 46730 that divides 46714 without a remainder.

1, 2, 5, 10, 4673, 9346, 23365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46714 and 46730. The biggest common factor number is the GCF number.
So the greatest common factor 46714 and 46730 is 2.

Also check out the Least Common Multiple of 46714 and 46730