What is the Greatest Common Factor of 46416 and 46436?

Greatest common factor (GCF) of 46416 and 46436 is 4.

GCF(46416,46436) = 4

We will now calculate the prime factors of 46416 and 46436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46416 and 46436.

How to find the GCF of 46416 and 46436?

We will first find the prime factorization of 46416 and 46436. After we will calculate the factors of 46416 and 46436 and find the biggest common factor number .

Step-1: Prime Factorization of 46416

Prime factors of 46416 are 2, 3, 967. Prime factorization of 46416 in exponential form is:

46416 = 2⁴ × 3¹ × 967¹

Step-2: Prime Factorization of 46436

Prime factors of 46436 are 2, 13, 19, 47. Prime factorization of 46436 in exponential form is:

46436 = 2² × 13¹ × 19¹ × 47¹

Step-3: Factors of 46416

List of positive integer factors of 46416 that divides 46416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 967, 1934, 2901, 3868, 5802, 7736, 11604, 15472, 23208

Step-4: Factors of 46436

List of positive integer factors of 46436 that divides 46416 without a remainder.

1, 2, 4, 13, 19, 26, 38, 47, 52, 76, 94, 188, 247, 494, 611, 893, 988, 1222, 1786, 2444, 3572, 11609, 23218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46416 and 46436. The biggest common factor number is the GCF number.
So the greatest common factor 46416 and 46436 is 4.

Also check out the Least Common Multiple of 46416 and 46436