What is the Greatest Common Factor of 88062 and 88075?

Greatest common factor (GCF) of 88062 and 88075 is 13.

GCF(88062,88075) = 13

We will now calculate the prime factors of 88062 and 88075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88062 and 88075.

How to find the GCF of 88062 and 88075?

We will first find the prime factorization of 88062 and 88075. After we will calculate the factors of 88062 and 88075 and find the biggest common factor number .

Step-1: Prime Factorization of 88062

Prime factors of 88062 are 2, 3, 13, 1129. Prime factorization of 88062 in exponential form is:

88062 = 2¹ × 3¹ × 13¹ × 1129¹

Step-2: Prime Factorization of 88075

Prime factors of 88075 are 5, 13, 271. Prime factorization of 88075 in exponential form is:

88075 = 5² × 13¹ × 271¹

Step-3: Factors of 88062

List of positive integer factors of 88062 that divides 88062 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1129, 2258, 3387, 6774, 14677, 29354, 44031

Step-4: Factors of 88075

List of positive integer factors of 88075 that divides 88062 without a remainder.

1, 5, 13, 25, 65, 271, 325, 1355, 3523, 6775, 17615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88062 and 88075. The biggest common factor number is the GCF number.
So the greatest common factor 88062 and 88075 is 13.

Also check out the Least Common Multiple of 88062 and 88075