What is the Greatest Common Factor of 46852 and 46872?

Greatest common factor (GCF) of 46852 and 46872 is 4.

GCF(46852,46872) = 4

We will now calculate the prime factors of 46852 and 46872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46852 and 46872.

How to find the GCF of 46852 and 46872?

We will first find the prime factorization of 46852 and 46872. After we will calculate the factors of 46852 and 46872 and find the biggest common factor number .

Step-1: Prime Factorization of 46852

Prime factors of 46852 are 2, 13, 17, 53. Prime factorization of 46852 in exponential form is:

46852 = 2² × 13¹ × 17¹ × 53¹

Step-2: Prime Factorization of 46872

Prime factors of 46872 are 2, 3, 7, 31. Prime factorization of 46872 in exponential form is:

46872 = 2³ × 3³ × 7¹ × 31¹

Step-3: Factors of 46852

List of positive integer factors of 46852 that divides 46852 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 53, 68, 106, 212, 221, 442, 689, 884, 901, 1378, 1802, 2756, 3604, 11713, 23426

Step-4: Factors of 46872

List of positive integer factors of 46872 that divides 46852 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 31, 36, 42, 54, 56, 62, 63, 72, 84, 93, 108, 124, 126, 168, 186, 189, 216, 217, 248, 252, 279, 372, 378, 434, 504, 558, 651, 744, 756, 837, 868, 1116, 1302, 1512, 1674, 1736, 1953, 2232, 2604, 3348, 3906, 5208, 5859, 6696, 7812, 11718, 15624, 23436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46852 and 46872. The biggest common factor number is the GCF number.
So the greatest common factor 46852 and 46872 is 4.

Also check out the Least Common Multiple of 46852 and 46872