What is the Greatest Common Factor of 45854 and 45864?

Greatest common factor (GCF) of 45854 and 45864 is 2.

GCF(45854,45864) = 2

We will now calculate the prime factors of 45854 and 45864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45854 and 45864.

How to find the GCF of 45854 and 45864?

We will first find the prime factorization of 45854 and 45864. After we will calculate the factors of 45854 and 45864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45864

Prime factors of 45864 are 2, 3, 7, 13. Prime factorization of 45864 in exponential form is:

45864 = 2³ × 3² × 7² × 13¹

Step-3: Factors of 45854

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

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

Step-4: Factors of 45864

List of positive integer factors of 45864 that divides 45854 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 28, 36, 39, 42, 49, 52, 56, 63, 72, 78, 84, 91, 98, 104, 117, 126, 147, 156, 168, 182, 196, 234, 252, 273, 294, 312, 364, 392, 441, 468, 504, 546, 588, 637, 728, 819, 882, 936, 1092, 1176, 1274, 1638, 1764, 1911, 2184, 2548, 3276, 3528, 3822, 5096, 5733, 6552, 7644, 11466, 15288, 22932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45854 and 45864. The biggest common factor number is the GCF number.
So the greatest common factor 45854 and 45864 is 2.

Also check out the Least Common Multiple of 45854 and 45864