What is the Greatest Common Factor of 46020 and 46028?

Greatest common factor (GCF) of 46020 and 46028 is 4.

GCF(46020,46028) = 4

We will now calculate the prime factors of 46020 and 46028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46020 and 46028.

How to find the GCF of 46020 and 46028?

We will first find the prime factorization of 46020 and 46028. After we will calculate the factors of 46020 and 46028 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 46028

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

46028 = 2² × 37¹ × 311¹

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 46028

List of positive integer factors of 46028 that divides 46020 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46020 and 46028. The biggest common factor number is the GCF number.
So the greatest common factor 46020 and 46028 is 4.

Also check out the Least Common Multiple of 46020 and 46028