What is the Greatest Common Factor of 46720 and 46724?

Greatest common factor (GCF) of 46720 and 46724 is 4.

GCF(46720,46724) = 4

We will now calculate the prime factors of 46720 and 46724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46720 and 46724.

How to find the GCF of 46720 and 46724?

We will first find the prime factorization of 46720 and 46724. After we will calculate the factors of 46720 and 46724 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46724

Prime factors of 46724 are 2, 11681. Prime factorization of 46724 in exponential form is:

46724 = 2² × 11681¹

Step-3: Factors of 46720

List of positive integer factors of 46720 that divides 46720 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

Step-4: Factors of 46724

List of positive integer factors of 46724 that divides 46720 without a remainder.

1, 2, 4, 11681, 23362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46720 and 46724. The biggest common factor number is the GCF number.
So the greatest common factor 46720 and 46724 is 4.

Also check out the Least Common Multiple of 46720 and 46724