What is the Greatest Common Factor of 53375 and 53382?

Greatest common factor (GCF) of 53375 and 53382 is 7.

GCF(53375,53382) = 7

We will now calculate the prime factors of 53375 and 53382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53375 and 53382.

How to find the GCF of 53375 and 53382?

We will first find the prime factorization of 53375 and 53382. After we will calculate the factors of 53375 and 53382 and find the biggest common factor number .

Step-1: Prime Factorization of 53375

Prime factors of 53375 are 5, 7, 61. Prime factorization of 53375 in exponential form is:

53375 = 5³ × 7¹ × 61¹

Step-2: Prime Factorization of 53382

Prime factors of 53382 are 2, 3, 7, 31, 41. Prime factorization of 53382 in exponential form is:

53382 = 2¹ × 3¹ × 7¹ × 31¹ × 41¹

Step-3: Factors of 53375

List of positive integer factors of 53375 that divides 53375 without a remainder.

1, 5, 7, 25, 35, 61, 125, 175, 305, 427, 875, 1525, 2135, 7625, 10675

Step-4: Factors of 53382

List of positive integer factors of 53382 that divides 53375 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 41, 42, 62, 82, 93, 123, 186, 217, 246, 287, 434, 574, 651, 861, 1271, 1302, 1722, 2542, 3813, 7626, 8897, 17794, 26691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53375 and 53382. The biggest common factor number is the GCF number.
So the greatest common factor 53375 and 53382 is 7.

Also check out the Least Common Multiple of 53375 and 53382