What is the Greatest Common Factor of 46032 and 46052?

Greatest common factor (GCF) of 46032 and 46052 is 4.

GCF(46032,46052) = 4

We will now calculate the prime factors of 46032 and 46052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46032 and 46052.

How to find the GCF of 46032 and 46052?

We will first find the prime factorization of 46032 and 46052. After we will calculate the factors of 46032 and 46052 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 46052

Prime factors of 46052 are 2, 29, 397. Prime factorization of 46052 in exponential form is:

46052 = 2² × 29¹ × 397¹

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 46052

List of positive integer factors of 46052 that divides 46032 without a remainder.

1, 2, 4, 29, 58, 116, 397, 794, 1588, 11513, 23026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46032 and 46052. The biggest common factor number is the GCF number.
So the greatest common factor 46032 and 46052 is 4.

Also check out the Least Common Multiple of 46032 and 46052