What is the Greatest Common Factor of 46700 and 46705?

Greatest common factor (GCF) of 46700 and 46705 is 5.

GCF(46700,46705) = 5

We will now calculate the prime factors of 46700 and 46705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46700 and 46705.

How to find the GCF of 46700 and 46705?

We will first find the prime factorization of 46700 and 46705. After we will calculate the factors of 46700 and 46705 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 46705

Prime factors of 46705 are 5, 9341. Prime factorization of 46705 in exponential form is:

46705 = 5¹ × 9341¹

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 46705

List of positive integer factors of 46705 that divides 46700 without a remainder.

1, 5, 9341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46700 and 46705. The biggest common factor number is the GCF number.
So the greatest common factor 46700 and 46705 is 5.

Also check out the Least Common Multiple of 46700 and 46705