What is the Greatest Common Factor of 28702 and 28712?

Greatest common factor (GCF) of 28702 and 28712 is 2.

GCF(28702,28712) = 2

We will now calculate the prime factors of 28702 and 28712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28702 and 28712.

How to find the GCF of 28702 and 28712?

We will first find the prime factorization of 28702 and 28712. After we will calculate the factors of 28702 and 28712 and find the biggest common factor number .

Step-1: Prime Factorization of 28702

Prime factors of 28702 are 2, 113, 127. Prime factorization of 28702 in exponential form is:

28702 = 2¹ × 113¹ × 127¹

Step-2: Prime Factorization of 28712

Prime factors of 28712 are 2, 37, 97. Prime factorization of 28712 in exponential form is:

28712 = 2³ × 37¹ × 97¹

Step-3: Factors of 28702

List of positive integer factors of 28702 that divides 28702 without a remainder.

1, 2, 113, 127, 226, 254, 14351

Step-4: Factors of 28712

List of positive integer factors of 28712 that divides 28702 without a remainder.

1, 2, 4, 8, 37, 74, 97, 148, 194, 296, 388, 776, 3589, 7178, 14356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28702 and 28712. The biggest common factor number is the GCF number.
So the greatest common factor 28702 and 28712 is 2.

Also check out the Least Common Multiple of 28702 and 28712