What is the Greatest Common Factor of 52243 and 52260?

Greatest common factor (GCF) of 52243 and 52260 is 1.

GCF(52243,52260) = 1

We will now calculate the prime factors of 52243 and 52260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52243 and 52260.

How to find the GCF of 52243 and 52260?

We will first find the prime factorization of 52243 and 52260. After we will calculate the factors of 52243 and 52260 and find the biggest common factor number .

Step-1: Prime Factorization of 52243

Prime factors of 52243 are 89, 587. Prime factorization of 52243 in exponential form is:

52243 = 89¹ × 587¹

Step-2: Prime Factorization of 52260

Prime factors of 52260 are 2, 3, 5, 13, 67. Prime factorization of 52260 in exponential form is:

52260 = 2² × 3¹ × 5¹ × 13¹ × 67¹

Step-3: Factors of 52243

List of positive integer factors of 52243 that divides 52243 without a remainder.

1, 89, 587

Step-4: Factors of 52260

List of positive integer factors of 52260 that divides 52243 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 67, 78, 130, 134, 156, 195, 201, 260, 268, 335, 390, 402, 670, 780, 804, 871, 1005, 1340, 1742, 2010, 2613, 3484, 4020, 4355, 5226, 8710, 10452, 13065, 17420, 26130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52243 and 52260. The biggest common factor number is the GCF number.
So the greatest common factor 52243 and 52260 is 1.

Also check out the Least Common Multiple of 52243 and 52260