What is the Greatest Common Factor of 28945 and 28952?

Greatest common factor (GCF) of 28945 and 28952 is 7.

GCF(28945,28952) = 7

We will now calculate the prime factors of 28945 and 28952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28945 and 28952.

How to find the GCF of 28945 and 28952?

We will first find the prime factorization of 28945 and 28952. After we will calculate the factors of 28945 and 28952 and find the biggest common factor number .

Step-1: Prime Factorization of 28945

Prime factors of 28945 are 5, 7, 827. Prime factorization of 28945 in exponential form is:

28945 = 5¹ × 7¹ × 827¹

Step-2: Prime Factorization of 28952

Prime factors of 28952 are 2, 7, 11, 47. Prime factorization of 28952 in exponential form is:

28952 = 2³ × 7¹ × 11¹ × 47¹

Step-3: Factors of 28945

List of positive integer factors of 28945 that divides 28945 without a remainder.

1, 5, 7, 35, 827, 4135, 5789

Step-4: Factors of 28952

List of positive integer factors of 28952 that divides 28945 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 47, 56, 77, 88, 94, 154, 188, 308, 329, 376, 517, 616, 658, 1034, 1316, 2068, 2632, 3619, 4136, 7238, 14476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28945 and 28952. The biggest common factor number is the GCF number.
So the greatest common factor 28945 and 28952 is 7.

Also check out the Least Common Multiple of 28945 and 28952