What is the Greatest Common Factor of 53368 and 53375?

Greatest common factor (GCF) of 53368 and 53375 is 7.

GCF(53368,53375) = 7

We will now calculate the prime factors of 53368 and 53375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53368 and 53375.

How to find the GCF of 53368 and 53375?

We will first find the prime factorization of 53368 and 53375. After we will calculate the factors of 53368 and 53375 and find the biggest common factor number .

Step-1: Prime Factorization of 53368

Prime factors of 53368 are 2, 7, 953. Prime factorization of 53368 in exponential form is:

53368 = 2³ × 7¹ × 953¹

Step-2: 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-3: Factors of 53368

List of positive integer factors of 53368 that divides 53368 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 953, 1906, 3812, 6671, 7624, 13342, 26684

Step-4: Factors of 53375

List of positive integer factors of 53375 that divides 53368 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53368 and 53375. The biggest common factor number is the GCF number.
So the greatest common factor 53368 and 53375 is 7.

Also check out the Least Common Multiple of 53368 and 53375