What is the Greatest Common Factor of 75376 and 75392?

Greatest common factor (GCF) of 75376 and 75392 is 16.

GCF(75376,75392) = 16

We will now calculate the prime factors of 75376 and 75392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75376 and 75392.

How to find the GCF of 75376 and 75392?

We will first find the prime factorization of 75376 and 75392. After we will calculate the factors of 75376 and 75392 and find the biggest common factor number .

Step-1: Prime Factorization of 75376

Prime factors of 75376 are 2, 7, 673. Prime factorization of 75376 in exponential form is:

75376 = 2⁴ × 7¹ × 673¹

Step-2: Prime Factorization of 75392

Prime factors of 75392 are 2, 19, 31. Prime factorization of 75392 in exponential form is:

75392 = 2⁷ × 19¹ × 31¹

Step-3: Factors of 75376

List of positive integer factors of 75376 that divides 75376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 673, 1346, 2692, 4711, 5384, 9422, 10768, 18844, 37688

Step-4: Factors of 75392

List of positive integer factors of 75392 that divides 75376 without a remainder.

1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 64, 76, 124, 128, 152, 248, 304, 496, 589, 608, 992, 1178, 1216, 1984, 2356, 2432, 3968, 4712, 9424, 18848, 37696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75376 and 75392. The biggest common factor number is the GCF number.
So the greatest common factor 75376 and 75392 is 16.

Also check out the Least Common Multiple of 75376 and 75392