What is the Greatest Common Factor of 75632 and 75640?

Greatest common factor (GCF) of 75632 and 75640 is 8.

GCF(75632,75640) = 8

We will now calculate the prime factors of 75632 and 75640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75632 and 75640.

How to find the GCF of 75632 and 75640?

We will first find the prime factorization of 75632 and 75640. After we will calculate the factors of 75632 and 75640 and find the biggest common factor number .

Step-1: Prime Factorization of 75632

Prime factors of 75632 are 2, 29, 163. Prime factorization of 75632 in exponential form is:

75632 = 2⁴ × 29¹ × 163¹

Step-2: Prime Factorization of 75640

Prime factors of 75640 are 2, 5, 31, 61. Prime factorization of 75640 in exponential form is:

75640 = 2³ × 5¹ × 31¹ × 61¹

Step-3: Factors of 75632

List of positive integer factors of 75632 that divides 75632 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 163, 232, 326, 464, 652, 1304, 2608, 4727, 9454, 18908, 37816

Step-4: Factors of 75640

List of positive integer factors of 75640 that divides 75632 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 61, 62, 122, 124, 155, 244, 248, 305, 310, 488, 610, 620, 1220, 1240, 1891, 2440, 3782, 7564, 9455, 15128, 18910, 37820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75632 and 75640. The biggest common factor number is the GCF number.
So the greatest common factor 75632 and 75640 is 8.

Also check out the Least Common Multiple of 75632 and 75640