What is the Greatest Common Factor of 52240 and 52252?

Greatest common factor (GCF) of 52240 and 52252 is 4.

GCF(52240,52252) = 4

We will now calculate the prime factors of 52240 and 52252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52240 and 52252.

How to find the GCF of 52240 and 52252?

We will first find the prime factorization of 52240 and 52252. After we will calculate the factors of 52240 and 52252 and find the biggest common factor number .

Step-1: Prime Factorization of 52240

Prime factors of 52240 are 2, 5, 653. Prime factorization of 52240 in exponential form is:

52240 = 2⁴ × 5¹ × 653¹

Step-2: Prime Factorization of 52252

Prime factors of 52252 are 2, 13063. Prime factorization of 52252 in exponential form is:

52252 = 2² × 13063¹

Step-3: Factors of 52240

List of positive integer factors of 52240 that divides 52240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 653, 1306, 2612, 3265, 5224, 6530, 10448, 13060, 26120

Step-4: Factors of 52252

List of positive integer factors of 52252 that divides 52240 without a remainder.

1, 2, 4, 13063, 26126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52240 and 52252. The biggest common factor number is the GCF number.
So the greatest common factor 52240 and 52252 is 4.

Also check out the Least Common Multiple of 52240 and 52252