What is the Greatest Common Factor of 84945 and 84952?

Greatest common factor (GCF) of 84945 and 84952 is 7.

GCF(84945,84952) = 7

We will now calculate the prime factors of 84945 and 84952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84945 and 84952.

How to find the GCF of 84945 and 84952?

We will first find the prime factorization of 84945 and 84952. After we will calculate the factors of 84945 and 84952 and find the biggest common factor number .

Step-1: Prime Factorization of 84945

Prime factors of 84945 are 3, 5, 7, 809. Prime factorization of 84945 in exponential form is:

84945 = 3¹ × 5¹ × 7¹ × 809¹

Step-2: Prime Factorization of 84952

Prime factors of 84952 are 2, 7, 37, 41. Prime factorization of 84952 in exponential form is:

84952 = 2³ × 7¹ × 37¹ × 41¹

Step-3: Factors of 84945

List of positive integer factors of 84945 that divides 84945 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 809, 2427, 4045, 5663, 12135, 16989, 28315

Step-4: Factors of 84952

List of positive integer factors of 84952 that divides 84945 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 41, 56, 74, 82, 148, 164, 259, 287, 296, 328, 518, 574, 1036, 1148, 1517, 2072, 2296, 3034, 6068, 10619, 12136, 21238, 42476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84945 and 84952. The biggest common factor number is the GCF number.
So the greatest common factor 84945 and 84952 is 7.

Also check out the Least Common Multiple of 84945 and 84952