What is the Greatest Common Factor of 46032 and 46036?

Greatest common factor (GCF) of 46032 and 46036 is 4.

GCF(46032,46036) = 4

We will now calculate the prime factors of 46032 and 46036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46032 and 46036.

How to find the GCF of 46032 and 46036?

We will first find the prime factorization of 46032 and 46036. After we will calculate the factors of 46032 and 46036 and find the biggest common factor number .

Step-1: Prime Factorization of 46032

Prime factors of 46032 are 2, 3, 7, 137. Prime factorization of 46032 in exponential form is:

46032 = 2⁴ × 3¹ × 7¹ × 137¹

Step-2: Prime Factorization of 46036

Prime factors of 46036 are 2, 17, 677. Prime factorization of 46036 in exponential form is:

46036 = 2² × 17¹ × 677¹

Step-3: Factors of 46032

List of positive integer factors of 46032 that divides 46032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 137, 168, 274, 336, 411, 548, 822, 959, 1096, 1644, 1918, 2192, 2877, 3288, 3836, 5754, 6576, 7672, 11508, 15344, 23016

Step-4: Factors of 46036

List of positive integer factors of 46036 that divides 46032 without a remainder.

1, 2, 4, 17, 34, 68, 677, 1354, 2708, 11509, 23018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46032 and 46036. The biggest common factor number is the GCF number.
So the greatest common factor 46032 and 46036 is 4.

Also check out the Least Common Multiple of 46032 and 46036