What is the Greatest Common Factor of 45872 and 45880?

Greatest common factor (GCF) of 45872 and 45880 is 8.

GCF(45872,45880) = 8

We will now calculate the prime factors of 45872 and 45880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45872 and 45880.

How to find the GCF of 45872 and 45880?

We will first find the prime factorization of 45872 and 45880. After we will calculate the factors of 45872 and 45880 and find the biggest common factor number .

Step-1: Prime Factorization of 45872

Prime factors of 45872 are 2, 47, 61. Prime factorization of 45872 in exponential form is:

45872 = 2⁴ × 47¹ × 61¹

Step-2: Prime Factorization of 45880

Prime factors of 45880 are 2, 5, 31, 37. Prime factorization of 45880 in exponential form is:

45880 = 2³ × 5¹ × 31¹ × 37¹

Step-3: Factors of 45872

List of positive integer factors of 45872 that divides 45872 without a remainder.

1, 2, 4, 8, 16, 47, 61, 94, 122, 188, 244, 376, 488, 752, 976, 2867, 5734, 11468, 22936

Step-4: Factors of 45880

List of positive integer factors of 45880 that divides 45872 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 37, 40, 62, 74, 124, 148, 155, 185, 248, 296, 310, 370, 620, 740, 1147, 1240, 1480, 2294, 4588, 5735, 9176, 11470, 22940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45872 and 45880. The biggest common factor number is the GCF number.
So the greatest common factor 45872 and 45880 is 8.

Also check out the Least Common Multiple of 45872 and 45880