What is the Greatest Common Factor of 46700 and 46711?

Greatest common factor (GCF) of 46700 and 46711 is 1.

GCF(46700,46711) = 1

We will now calculate the prime factors of 46700 and 46711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46700 and 46711.

How to find the GCF of 46700 and 46711?

We will first find the prime factorization of 46700 and 46711. After we will calculate the factors of 46700 and 46711 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 46711

Prime factors of 46711 are 7, 6673. Prime factorization of 46711 in exponential form is:

46711 = 7¹ × 6673¹

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 46711

List of positive integer factors of 46711 that divides 46700 without a remainder.

1, 7, 6673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46700 and 46711. The biggest common factor number is the GCF number.
So the greatest common factor 46700 and 46711 is 1.

Also check out the Least Common Multiple of 46700 and 46711