What is the Greatest Common Factor of 46715 and 46720?

Greatest common factor (GCF) of 46715 and 46720 is 5.

GCF(46715,46720) = 5

We will now calculate the prime factors of 46715 and 46720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46715 and 46720.

How to find the GCF of 46715 and 46720?

We will first find the prime factorization of 46715 and 46720. After we will calculate the factors of 46715 and 46720 and find the biggest common factor number .

Step-1: Prime Factorization of 46715

Prime factors of 46715 are 5, 9343. Prime factorization of 46715 in exponential form is:

46715 = 5¹ × 9343¹

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 46715

List of positive integer factors of 46715 that divides 46715 without a remainder.

1, 5, 9343

Step-4: Factors of 46720

List of positive integer factors of 46720 that divides 46715 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 46715 and 46720. The biggest common factor number is the GCF number.
So the greatest common factor 46715 and 46720 is 5.

Also check out the Least Common Multiple of 46715 and 46720