What is the Greatest Common Factor of 46028 and 46032?

Greatest common factor (GCF) of 46028 and 46032 is 4.

GCF(46028,46032) = 4

We will now calculate the prime factors of 46028 and 46032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46028 and 46032.

How to find the GCF of 46028 and 46032?

We will first find the prime factorization of 46028 and 46032. After we will calculate the factors of 46028 and 46032 and find the biggest common factor number .

Step-1: Prime Factorization of 46028

Prime factors of 46028 are 2, 37, 311. Prime factorization of 46028 in exponential form is:

46028 = 2² × 37¹ × 311¹

Step-2: 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-3: Factors of 46028

List of positive integer factors of 46028 that divides 46028 without a remainder.

1, 2, 4, 37, 74, 148, 311, 622, 1244, 11507, 23014

Step-4: Factors of 46032

List of positive integer factors of 46032 that divides 46028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46028 and 46032. The biggest common factor number is the GCF number.
So the greatest common factor 46028 and 46032 is 4.

Also check out the Least Common Multiple of 46028 and 46032