What is the Greatest Common Factor of 52260 and 52270?

Greatest common factor (GCF) of 52260 and 52270 is 10.

GCF(52260,52270) = 10

We will now calculate the prime factors of 52260 and 52270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52260 and 52270.

How to find the GCF of 52260 and 52270?

We will first find the prime factorization of 52260 and 52270. After we will calculate the factors of 52260 and 52270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52270

Prime factors of 52270 are 2, 5, 5227. Prime factorization of 52270 in exponential form is:

52270 = 2¹ × 5¹ × 5227¹

Step-3: Factors of 52260

List of positive integer factors of 52260 that divides 52260 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

Step-4: Factors of 52270

List of positive integer factors of 52270 that divides 52260 without a remainder.

1, 2, 5, 10, 5227, 10454, 26135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52260 and 52270. The biggest common factor number is the GCF number.
So the greatest common factor 52260 and 52270 is 10.

Also check out the Least Common Multiple of 52260 and 52270