What is the Greatest Common Factor of 46718 and 46732?

Greatest common factor (GCF) of 46718 and 46732 is 14.

GCF(46718,46732) = 14

We will now calculate the prime factors of 46718 and 46732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46718 and 46732.

How to find the GCF of 46718 and 46732?

We will first find the prime factorization of 46718 and 46732. After we will calculate the factors of 46718 and 46732 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46732

Prime factors of 46732 are 2, 7, 1669. Prime factorization of 46732 in exponential form is:

46732 = 2² × 7¹ × 1669¹

Step-3: Factors of 46718

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

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

Step-4: Factors of 46732

List of positive integer factors of 46732 that divides 46718 without a remainder.

1, 2, 4, 7, 14, 28, 1669, 3338, 6676, 11683, 23366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46718 and 46732. The biggest common factor number is the GCF number.
So the greatest common factor 46718 and 46732 is 14.

Also check out the Least Common Multiple of 46718 and 46732