What is the Greatest Common Factor of 87045 and 87050?

Greatest common factor (GCF) of 87045 and 87050 is 5.

GCF(87045,87050) = 5

We will now calculate the prime factors of 87045 and 87050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87045 and 87050.

How to find the GCF of 87045 and 87050?

We will first find the prime factorization of 87045 and 87050. After we will calculate the factors of 87045 and 87050 and find the biggest common factor number .

Step-1: Prime Factorization of 87045

Prime factors of 87045 are 3, 5, 7, 829. Prime factorization of 87045 in exponential form is:

87045 = 3¹ × 5¹ × 7¹ × 829¹

Step-2: Prime Factorization of 87050

Prime factors of 87050 are 2, 5, 1741. Prime factorization of 87050 in exponential form is:

87050 = 2¹ × 5² × 1741¹

Step-3: Factors of 87045

List of positive integer factors of 87045 that divides 87045 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 829, 2487, 4145, 5803, 12435, 17409, 29015

Step-4: Factors of 87050

List of positive integer factors of 87050 that divides 87045 without a remainder.

1, 2, 5, 10, 25, 50, 1741, 3482, 8705, 17410, 43525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87045 and 87050. The biggest common factor number is the GCF number.
So the greatest common factor 87045 and 87050 is 5.

Also check out the Least Common Multiple of 87045 and 87050