What is the Greatest Common Factor of 46032 and 46040?

Greatest common factor (GCF) of 46032 and 46040 is 8.

GCF(46032,46040) = 8

We will now calculate the prime factors of 46032 and 46040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46032 and 46040.

How to find the GCF of 46032 and 46040?

We will first find the prime factorization of 46032 and 46040. After we will calculate the factors of 46032 and 46040 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 46040

Prime factors of 46040 are 2, 5, 1151. Prime factorization of 46040 in exponential form is:

46040 = 2³ × 5¹ × 1151¹

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 46040

List of positive integer factors of 46040 that divides 46032 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1151, 2302, 4604, 5755, 9208, 11510, 23020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46032 and 46040. The biggest common factor number is the GCF number.
So the greatest common factor 46032 and 46040 is 8.

Also check out the Least Common Multiple of 46032 and 46040