What is the Greatest Common Factor of 46852 and 46865?

Greatest common factor (GCF) of 46852 and 46865 is 13.

GCF(46852,46865) = 13

We will now calculate the prime factors of 46852 and 46865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46852 and 46865.

How to find the GCF of 46852 and 46865?

We will first find the prime factorization of 46852 and 46865. After we will calculate the factors of 46852 and 46865 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 46865

Prime factors of 46865 are 5, 7, 13, 103. Prime factorization of 46865 in exponential form is:

46865 = 5¹ × 7¹ × 13¹ × 103¹

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 46865

List of positive integer factors of 46865 that divides 46852 without a remainder.

1, 5, 7, 13, 35, 65, 91, 103, 455, 515, 721, 1339, 3605, 6695, 9373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46852 and 46865. The biggest common factor number is the GCF number.
So the greatest common factor 46852 and 46865 is 13.

Also check out the Least Common Multiple of 46852 and 46865