What is the Greatest Common Factor of 1252 and 1258?

Greatest common factor (GCF) of 1252 and 1258 is 2.

GCF(1252,1258) = 2

We will now calculate the prime factors of 1252 and 1258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1252 and 1258.

How to find the GCF of 1252 and 1258?

We will first find the prime factorization of 1252 and 1258. After we will calculate the factors of 1252 and 1258 and find the biggest common factor number .

Step-1: Prime Factorization of 1252

Prime factors of 1252 are 2, 313. Prime factorization of 1252 in exponential form is:

1252 = 2² × 313¹

Step-2: Prime Factorization of 1258

Prime factors of 1258 are 2, 17, 37. Prime factorization of 1258 in exponential form is:

1258 = 2¹ × 17¹ × 37¹

Step-3: Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1, 2, 4, 313, 626

Step-4: Factors of 1258

List of positive integer factors of 1258 that divides 1252 without a remainder.

1, 2, 17, 34, 37, 74, 629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1252 and 1258. The biggest common factor number is the GCF number.
So the greatest common factor 1252 and 1258 is 2.

Also check out the Least Common Multiple of 1252 and 1258