What is the Greatest Common Factor of 1252 and 1272?

Greatest common factor (GCF) of 1252 and 1272 is 4.

GCF(1252,1272) = 4

We will now calculate the prime factors of 1252 and 1272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1252 and 1272.

How to find the GCF of 1252 and 1272?

We will first find the prime factorization of 1252 and 1272. After we will calculate the factors of 1252 and 1272 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 1272

Prime factors of 1272 are 2, 3, 53. Prime factorization of 1272 in exponential form is:

1272 = 2³ × 3¹ × 53¹

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 1272

List of positive integer factors of 1272 that divides 1252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1252 and 1272. The biggest common factor number is the GCF number.
So the greatest common factor 1252 and 1272 is 4.

Also check out the Least Common Multiple of 1252 and 1272