What is the Greatest Common Factor of 53028 and 53041?

Greatest common factor (GCF) of 53028 and 53041 is 1.

GCF(53028,53041) = 1

We will now calculate the prime factors of 53028 and 53041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53028 and 53041.

How to find the GCF of 53028 and 53041?

We will first find the prime factorization of 53028 and 53041. After we will calculate the factors of 53028 and 53041 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 53041

Prime factors of 53041 are 29, 31, 59. Prime factorization of 53041 in exponential form is:

53041 = 29¹ × 31¹ × 59¹

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 53041

List of positive integer factors of 53041 that divides 53028 without a remainder.

1, 29, 31, 59, 899, 1711, 1829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53028 and 53041. The biggest common factor number is the GCF number.
So the greatest common factor 53028 and 53041 is 1.

Also check out the Least Common Multiple of 53028 and 53041