What is the Greatest Common Factor of 46708 and 46718?

Greatest common factor (GCF) of 46708 and 46718 is 2.

GCF(46708,46718) = 2

We will now calculate the prime factors of 46708 and 46718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46708 and 46718.

How to find the GCF of 46708 and 46718?

We will first find the prime factorization of 46708 and 46718. After we will calculate the factors of 46708 and 46718 and find the biggest common factor number .

Step-1: Prime Factorization of 46708

Prime factors of 46708 are 2, 11677. Prime factorization of 46708 in exponential form is:

46708 = 2² × 11677¹

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 46708

List of positive integer factors of 46708 that divides 46708 without a remainder.

1, 2, 4, 11677, 23354

Step-4: Factors of 46718

List of positive integer factors of 46718 that divides 46708 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 46708 and 46718. The biggest common factor number is the GCF number.
So the greatest common factor 46708 and 46718 is 2.

Also check out the Least Common Multiple of 46708 and 46718