What is the Greatest Common Factor of 88375 and 88382?

Greatest common factor (GCF) of 88375 and 88382 is 7.

GCF(88375,88382) = 7

We will now calculate the prime factors of 88375 and 88382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88375 and 88382.

How to find the GCF of 88375 and 88382?

We will first find the prime factorization of 88375 and 88382. After we will calculate the factors of 88375 and 88382 and find the biggest common factor number .

Step-1: Prime Factorization of 88375

Prime factors of 88375 are 5, 7, 101. Prime factorization of 88375 in exponential form is:

88375 = 5³ × 7¹ × 101¹

Step-2: Prime Factorization of 88382

Prime factors of 88382 are 2, 7, 59, 107. Prime factorization of 88382 in exponential form is:

88382 = 2¹ × 7¹ × 59¹ × 107¹

Step-3: Factors of 88375

List of positive integer factors of 88375 that divides 88375 without a remainder.

1, 5, 7, 25, 35, 101, 125, 175, 505, 707, 875, 2525, 3535, 12625, 17675

Step-4: Factors of 88382

List of positive integer factors of 88382 that divides 88375 without a remainder.

1, 2, 7, 14, 59, 107, 118, 214, 413, 749, 826, 1498, 6313, 12626, 44191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88375 and 88382. The biggest common factor number is the GCF number.
So the greatest common factor 88375 and 88382 is 7.

Also check out the Least Common Multiple of 88375 and 88382