What is the Greatest Common Factor of 46700 and 46708?

Greatest common factor (GCF) of 46700 and 46708 is 4.

GCF(46700,46708) = 4

We will now calculate the prime factors of 46700 and 46708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46700 and 46708.

How to find the GCF of 46700 and 46708?

We will first find the prime factorization of 46700 and 46708. After we will calculate the factors of 46700 and 46708 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 46708

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

46708 = 2² × 11677¹

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 46708

List of positive integer factors of 46708 that divides 46700 without a remainder.

1, 2, 4, 11677, 23354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46700 and 46708. The biggest common factor number is the GCF number.
So the greatest common factor 46700 and 46708 is 4.

Also check out the Least Common Multiple of 46700 and 46708