What is the Greatest Common Factor of 1232 and 1246?

Greatest common factor (GCF) of 1232 and 1246 is 14.

GCF(1232,1246) = 14

We will now calculate the prime factors of 1232 and 1246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1232 and 1246.

How to find the GCF of 1232 and 1246?

We will first find the prime factorization of 1232 and 1246. After we will calculate the factors of 1232 and 1246 and find the biggest common factor number .

Step-1: Prime Factorization of 1232

Prime factors of 1232 are 2, 7, 11. Prime factorization of 1232 in exponential form is:

1232 = 2⁴ × 7¹ × 11¹

Step-2: Prime Factorization of 1246

Prime factors of 1246 are 2, 7, 89. Prime factorization of 1246 in exponential form is:

1246 = 2¹ × 7¹ × 89¹

Step-3: Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616

Step-4: Factors of 1246

List of positive integer factors of 1246 that divides 1232 without a remainder.

1, 2, 7, 14, 89, 178, 623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1232 and 1246. The biggest common factor number is the GCF number.
So the greatest common factor 1232 and 1246 is 14.

Also check out the Least Common Multiple of 1232 and 1246