What is the Greatest Common Factor of 53028 and 53033?

Greatest common factor (GCF) of 53028 and 53033 is 1.

GCF(53028,53033) = 1

We will now calculate the prime factors of 53028 and 53033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53028 and 53033.

How to find the GCF of 53028 and 53033?

We will first find the prime factorization of 53028 and 53033. After we will calculate the factors of 53028 and 53033 and find the biggest common factor number .

Step-1: Prime Factorization of 53028

Prime factors of 53028 are 2, 3, 491. Prime factorization of 53028 in exponential form is:

53028 = 2² × 3³ × 491¹

Step-2: Prime Factorization of 53033

Prime factors of 53033 are 181, 293. Prime factorization of 53033 in exponential form is:

53033 = 181¹ × 293¹

Step-3: Factors of 53028

List of positive integer factors of 53028 that divides 53028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 491, 982, 1473, 1964, 2946, 4419, 5892, 8838, 13257, 17676, 26514

Step-4: Factors of 53033

List of positive integer factors of 53033 that divides 53028 without a remainder.

1, 181, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53028 and 53033. The biggest common factor number is the GCF number.
So the greatest common factor 53028 and 53033 is 1.

Also check out the Least Common Multiple of 53028 and 53033