What is the Greatest Common Factor of 46700 and 46718?

Greatest common factor (GCF) of 46700 and 46718 is 2.

GCF(46700,46718) = 2

We will now calculate the prime factors of 46700 and 46718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46700 and 46718.

How to find the GCF of 46700 and 46718?

We will first find the prime factorization of 46700 and 46718. After we will calculate the factors of 46700 and 46718 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 46718

Prime factors of 46718 are 2, 7, 47, 71. Prime factorization of 46718 in exponential form is:

46718 = 2¹ × 7¹ × 47¹ × 71¹

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 46718

List of positive integer factors of 46718 that divides 46700 without a remainder.

1, 2, 7, 14, 47, 71, 94, 142, 329, 497, 658, 994, 3337, 6674, 23359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46700 and 46718. The biggest common factor number is the GCF number.
So the greatest common factor 46700 and 46718 is 2.

Also check out the Least Common Multiple of 46700 and 46718