What is the Greatest Common Factor of 45870 and 45888?

Greatest common factor (GCF) of 45870 and 45888 is 6.

GCF(45870,45888) = 6

We will now calculate the prime factors of 45870 and 45888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45870 and 45888.

How to find the GCF of 45870 and 45888?

We will first find the prime factorization of 45870 and 45888. After we will calculate the factors of 45870 and 45888 and find the biggest common factor number .

Step-1: Prime Factorization of 45870

Prime factors of 45870 are 2, 3, 5, 11, 139. Prime factorization of 45870 in exponential form is:

45870 = 2¹ × 3¹ × 5¹ × 11¹ × 139¹

Step-2: Prime Factorization of 45888

Prime factors of 45888 are 2, 3, 239. Prime factorization of 45888 in exponential form is:

45888 = 2⁶ × 3¹ × 239¹

Step-3: Factors of 45870

List of positive integer factors of 45870 that divides 45870 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 139, 165, 278, 330, 417, 695, 834, 1390, 1529, 2085, 3058, 4170, 4587, 7645, 9174, 15290, 22935

Step-4: Factors of 45888

List of positive integer factors of 45888 that divides 45870 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 7648, 11472, 15296, 22944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45870 and 45888. The biggest common factor number is the GCF number.
So the greatest common factor 45870 and 45888 is 6.

Also check out the Least Common Multiple of 45870 and 45888