What is the Greatest Common Factor of 53246 and 53252?

Greatest common factor (GCF) of 53246 and 53252 is 2.

GCF(53246,53252) = 2

We will now calculate the prime factors of 53246 and 53252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53246 and 53252.

How to find the GCF of 53246 and 53252?

We will first find the prime factorization of 53246 and 53252. After we will calculate the factors of 53246 and 53252 and find the biggest common factor number .

Step-1: Prime Factorization of 53246

Prime factors of 53246 are 2, 79, 337. Prime factorization of 53246 in exponential form is:

53246 = 2¹ × 79¹ × 337¹

Step-2: Prime Factorization of 53252

Prime factors of 53252 are 2, 13313. Prime factorization of 53252 in exponential form is:

53252 = 2² × 13313¹

Step-3: Factors of 53246

List of positive integer factors of 53246 that divides 53246 without a remainder.

1, 2, 79, 158, 337, 674, 26623

Step-4: Factors of 53252

List of positive integer factors of 53252 that divides 53246 without a remainder.

1, 2, 4, 13313, 26626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53246 and 53252. The biggest common factor number is the GCF number.
So the greatest common factor 53246 and 53252 is 2.

Also check out the Least Common Multiple of 53246 and 53252