What is the Greatest Common Factor of 46700 and 46710?

Greatest common factor (GCF) of 46700 and 46710 is 10.

GCF(46700,46710) = 10

We will now calculate the prime factors of 46700 and 46710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46700 and 46710.

How to find the GCF of 46700 and 46710?

We will first find the prime factorization of 46700 and 46710. After we will calculate the factors of 46700 and 46710 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 46710

Prime factors of 46710 are 2, 3, 5, 173. Prime factorization of 46710 in exponential form is:

46710 = 2¹ × 3³ × 5¹ × 173¹

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 46710

List of positive integer factors of 46710 that divides 46700 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 173, 270, 346, 519, 865, 1038, 1557, 1730, 2595, 3114, 4671, 5190, 7785, 9342, 15570, 23355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46700 and 46710. The biggest common factor number is the GCF number.
So the greatest common factor 46700 and 46710 is 10.

Also check out the Least Common Multiple of 46700 and 46710