What is the Greatest Common Factor of 45840 and 45854?

Greatest common factor (GCF) of 45840 and 45854 is 2.

GCF(45840,45854) = 2

We will now calculate the prime factors of 45840 and 45854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45854.

How to find the GCF of 45840 and 45854?

We will first find the prime factorization of 45840 and 45854. After we will calculate the factors of 45840 and 45854 and find the biggest common factor number .

Step-1: Prime Factorization of 45840

Prime factors of 45840 are 2, 3, 5, 191. Prime factorization of 45840 in exponential form is:

45840 = 2⁴ × 3¹ × 5¹ × 191¹

Step-2: Prime Factorization of 45854

Prime factors of 45854 are 2, 101, 227. Prime factorization of 45854 in exponential form is:

45854 = 2¹ × 101¹ × 227¹

Step-3: Factors of 45840

List of positive integer factors of 45840 that divides 45840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 191, 240, 382, 573, 764, 955, 1146, 1528, 1910, 2292, 2865, 3056, 3820, 4584, 5730, 7640, 9168, 11460, 15280, 22920

Step-4: Factors of 45854

List of positive integer factors of 45854 that divides 45840 without a remainder.

1, 2, 101, 202, 227, 454, 22927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45854. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45854 is 2.

Also check out the Least Common Multiple of 45840 and 45854