What is the Greatest Common Factor of 46715 and 46730?

Greatest common factor (GCF) of 46715 and 46730 is 5.

GCF(46715,46730) = 5

We will now calculate the prime factors of 46715 and 46730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46715 and 46730.

How to find the GCF of 46715 and 46730?

We will first find the prime factorization of 46715 and 46730. After we will calculate the factors of 46715 and 46730 and find the biggest common factor number .

Step-1: Prime Factorization of 46715

Prime factors of 46715 are 5, 9343. Prime factorization of 46715 in exponential form is:

46715 = 5¹ × 9343¹

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 46715

List of positive integer factors of 46715 that divides 46715 without a remainder.

1, 5, 9343

Step-4: Factors of 46730

List of positive integer factors of 46730 that divides 46715 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46715 and 46730. The biggest common factor number is the GCF number.
So the greatest common factor 46715 and 46730 is 5.

Also check out the Least Common Multiple of 46715 and 46730