What is the Greatest Common Factor of 46020 and 46033?

Greatest common factor (GCF) of 46020 and 46033 is 13.

GCF(46020,46033) = 13

We will now calculate the prime factors of 46020 and 46033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46020 and 46033.

How to find the GCF of 46020 and 46033?

We will first find the prime factorization of 46020 and 46033. After we will calculate the factors of 46020 and 46033 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 46033

Prime factors of 46033 are 13, 3541. Prime factorization of 46033 in exponential form is:

46033 = 13¹ × 3541¹

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 46033

List of positive integer factors of 46033 that divides 46020 without a remainder.

1, 13, 3541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46020 and 46033. The biggest common factor number is the GCF number.
So the greatest common factor 46020 and 46033 is 13.

Also check out the Least Common Multiple of 46020 and 46033