What is the Greatest Common Factor of 45878 and 45896?

Greatest common factor (GCF) of 45878 and 45896 is 2.

GCF(45878,45896) = 2

We will now calculate the prime factors of 45878 and 45896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45878 and 45896.

How to find the GCF of 45878 and 45896?

We will first find the prime factorization of 45878 and 45896. After we will calculate the factors of 45878 and 45896 and find the biggest common factor number .

Step-1: Prime Factorization of 45878

Prime factors of 45878 are 2, 7, 29, 113. Prime factorization of 45878 in exponential form is:

45878 = 2¹ × 7¹ × 29¹ × 113¹

Step-2: Prime Factorization of 45896

Prime factors of 45896 are 2, 5737. Prime factorization of 45896 in exponential form is:

45896 = 2³ × 5737¹

Step-3: Factors of 45878

List of positive integer factors of 45878 that divides 45878 without a remainder.

1, 2, 7, 14, 29, 58, 113, 203, 226, 406, 791, 1582, 3277, 6554, 22939

Step-4: Factors of 45896

List of positive integer factors of 45896 that divides 45878 without a remainder.

1, 2, 4, 8, 5737, 11474, 22948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45878 and 45896. The biggest common factor number is the GCF number.
So the greatest common factor 45878 and 45896 is 2.

Also check out the Least Common Multiple of 45878 and 45896