What is the Greatest Common Factor of 46710 and 46720?

Greatest common factor (GCF) of 46710 and 46720 is 10.

GCF(46710,46720) = 10

We will now calculate the prime factors of 46710 and 46720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46710 and 46720.

How to find the GCF of 46710 and 46720?

We will first find the prime factorization of 46710 and 46720. After we will calculate the factors of 46710 and 46720 and find the biggest common factor number .

Step-1: 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-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 46710

List of positive integer factors of 46710 that divides 46710 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

Step-4: Factors of 46720

List of positive integer factors of 46720 that divides 46710 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 46710 and 46720. The biggest common factor number is the GCF number.
So the greatest common factor 46710 and 46720 is 10.

Also check out the Least Common Multiple of 46710 and 46720