What is the Greatest Common Factor of 46716 and 46720?

Greatest common factor (GCF) of 46716 and 46720 is 4.

GCF(46716,46720) = 4

We will now calculate the prime factors of 46716 and 46720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46716 and 46720.

How to find the GCF of 46716 and 46720?

We will first find the prime factorization of 46716 and 46720. After we will calculate the factors of 46716 and 46720 and find the biggest common factor number .

Step-1: Prime Factorization of 46716

Prime factors of 46716 are 2, 3, 17, 229. Prime factorization of 46716 in exponential form is:

46716 = 2² × 3¹ × 17¹ × 229¹

Step-2: Prime Factorization of 46720

Prime factors of 46720 are 2, 5, 73. Prime factorization of 46720 in exponential form is:

46720 = 2⁷ × 5¹ × 73¹

Step-3: Factors of 46716

List of positive integer factors of 46716 that divides 46716 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 229, 458, 687, 916, 1374, 2748, 3893, 7786, 11679, 15572, 23358

Step-4: Factors of 46720

List of positive integer factors of 46720 that divides 46716 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 128, 146, 160, 292, 320, 365, 584, 640, 730, 1168, 1460, 2336, 2920, 4672, 5840, 9344, 11680, 23360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46716 and 46720. The biggest common factor number is the GCF number.
So the greatest common factor 46716 and 46720 is 4.

Also check out the Least Common Multiple of 46716 and 46720