What is the Greatest Common Factor of 46020 and 46032?

Greatest common factor (GCF) of 46020 and 46032 is 12.

GCF(46020,46032) = 12

We will now calculate the prime factors of 46020 and 46032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46020 and 46032.

How to find the GCF of 46020 and 46032?

We will first find the prime factorization of 46020 and 46032. After we will calculate the factors of 46020 and 46032 and find the biggest common factor number .

Step-1: Prime Factorization of 46020

Prime factors of 46020 are 2, 3, 5, 13, 59. Prime factorization of 46020 in exponential form is:

46020 = 2² × 3¹ × 5¹ × 13¹ × 59¹

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 46020

List of positive integer factors of 46020 that divides 46020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 59, 60, 65, 78, 118, 130, 156, 177, 195, 236, 260, 295, 354, 390, 590, 708, 767, 780, 885, 1180, 1534, 1770, 2301, 3068, 3540, 3835, 4602, 7670, 9204, 11505, 15340, 23010

Step-4: Factors of 46032

List of positive integer factors of 46032 that divides 46020 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 46020 and 46032. The biggest common factor number is the GCF number.
So the greatest common factor 46020 and 46032 is 12.

Also check out the Least Common Multiple of 46020 and 46032