What is the Greatest Common Factor of 87038 and 87045?

Greatest common factor (GCF) of 87038 and 87045 is 7.

GCF(87038,87045) = 7

We will now calculate the prime factors of 87038 and 87045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87038 and 87045.

How to find the GCF of 87038 and 87045?

We will first find the prime factorization of 87038 and 87045. After we will calculate the factors of 87038 and 87045 and find the biggest common factor number .

Step-1: Prime Factorization of 87038

Prime factors of 87038 are 2, 7, 6217. Prime factorization of 87038 in exponential form is:

87038 = 2¹ × 7¹ × 6217¹

Step-2: 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-3: Factors of 87038

List of positive integer factors of 87038 that divides 87038 without a remainder.

1, 2, 7, 14, 6217, 12434, 43519

Step-4: Factors of 87045

List of positive integer factors of 87045 that divides 87038 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87038 and 87045. The biggest common factor number is the GCF number.
So the greatest common factor 87038 and 87045 is 7.

Also check out the Least Common Multiple of 87038 and 87045