What is the Greatest Common Factor of 46020 and 46035?

Greatest common factor (GCF) of 46020 and 46035 is 15.

GCF(46020,46035) = 15

We will now calculate the prime factors of 46020 and 46035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46020 and 46035.

How to find the GCF of 46020 and 46035?

We will first find the prime factorization of 46020 and 46035. After we will calculate the factors of 46020 and 46035 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 46035

Prime factors of 46035 are 3, 5, 11, 31. Prime factorization of 46035 in exponential form is:

46035 = 3³ × 5¹ × 11¹ × 31¹

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 46035

List of positive integer factors of 46035 that divides 46020 without a remainder.

1, 3, 5, 9, 11, 15, 27, 31, 33, 45, 55, 93, 99, 135, 155, 165, 279, 297, 341, 465, 495, 837, 1023, 1395, 1485, 1705, 3069, 4185, 5115, 9207, 15345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46020 and 46035. The biggest common factor number is the GCF number.
So the greatest common factor 46020 and 46035 is 15.

Also check out the Least Common Multiple of 46020 and 46035