What is the Greatest Common Factor of 87925 and 87945?

Greatest common factor (GCF) of 87925 and 87945 is 5.

GCF(87925,87945) = 5

We will now calculate the prime factors of 87925 and 87945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87925 and 87945.

How to find the GCF of 87925 and 87945?

We will first find the prime factorization of 87925 and 87945. After we will calculate the factors of 87925 and 87945 and find the biggest common factor number .

Step-1: Prime Factorization of 87925

Prime factors of 87925 are 5, 3517. Prime factorization of 87925 in exponential form is:

87925 = 5² × 3517¹

Step-2: Prime Factorization of 87945

Prime factors of 87945 are 3, 5, 11, 13, 41. Prime factorization of 87945 in exponential form is:

87945 = 3¹ × 5¹ × 11¹ × 13¹ × 41¹

Step-3: Factors of 87925

List of positive integer factors of 87925 that divides 87925 without a remainder.

1, 5, 25, 3517, 17585

Step-4: Factors of 87945

List of positive integer factors of 87945 that divides 87925 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 41, 55, 65, 123, 143, 165, 195, 205, 429, 451, 533, 615, 715, 1353, 1599, 2145, 2255, 2665, 5863, 6765, 7995, 17589, 29315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87925 and 87945. The biggest common factor number is the GCF number.
So the greatest common factor 87925 and 87945 is 5.

Also check out the Least Common Multiple of 87925 and 87945