What is the Greatest Common Factor of 28892 and 28907?

Greatest common factor (GCF) of 28892 and 28907 is 1.

GCF(28892,28907) = 1

We will now calculate the prime factors of 28892 and 28907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28892 and 28907.

How to find the GCF of 28892 and 28907?

We will first find the prime factorization of 28892 and 28907. After we will calculate the factors of 28892 and 28907 and find the biggest common factor number .

Step-1: Prime Factorization of 28892

Prime factors of 28892 are 2, 31, 233. Prime factorization of 28892 in exponential form is:

28892 = 2² × 31¹ × 233¹

Step-2: Prime Factorization of 28907

Prime factors of 28907 are 137, 211. Prime factorization of 28907 in exponential form is:

28907 = 137¹ × 211¹

Step-3: Factors of 28892

List of positive integer factors of 28892 that divides 28892 without a remainder.

1, 2, 4, 31, 62, 124, 233, 466, 932, 7223, 14446

Step-4: Factors of 28907

List of positive integer factors of 28907 that divides 28892 without a remainder.

1, 137, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28892 and 28907. The biggest common factor number is the GCF number.
So the greatest common factor 28892 and 28907 is 1.

Also check out the Least Common Multiple of 28892 and 28907