What is the Greatest Common Factor of 53028 and 53037?

Greatest common factor (GCF) of 53028 and 53037 is 9.

GCF(53028,53037) = 9

We will now calculate the prime factors of 53028 and 53037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53028 and 53037.

How to find the GCF of 53028 and 53037?

We will first find the prime factorization of 53028 and 53037. After we will calculate the factors of 53028 and 53037 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 53037

Prime factors of 53037 are 3, 71, 83. Prime factorization of 53037 in exponential form is:

53037 = 3² × 71¹ × 83¹

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 53037

List of positive integer factors of 53037 that divides 53028 without a remainder.

1, 3, 9, 71, 83, 213, 249, 639, 747, 5893, 17679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53028 and 53037. The biggest common factor number is the GCF number.
So the greatest common factor 53028 and 53037 is 9.

Also check out the Least Common Multiple of 53028 and 53037