What is the Greatest Common Factor of 45888 and 45892?

Greatest common factor (GCF) of 45888 and 45892 is 4.

GCF(45888,45892) = 4

We will now calculate the prime factors of 45888 and 45892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45888 and 45892.

How to find the GCF of 45888 and 45892?

We will first find the prime factorization of 45888 and 45892. After we will calculate the factors of 45888 and 45892 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45892

Prime factors of 45892 are 2, 7, 11, 149. Prime factorization of 45892 in exponential form is:

45892 = 2² × 7¹ × 11¹ × 149¹

Step-3: Factors of 45888

List of positive integer factors of 45888 that divides 45888 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

Step-4: Factors of 45892

List of positive integer factors of 45892 that divides 45888 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 149, 154, 298, 308, 596, 1043, 1639, 2086, 3278, 4172, 6556, 11473, 22946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45888 and 45892. The biggest common factor number is the GCF number.
So the greatest common factor 45888 and 45892 is 4.

Also check out the Least Common Multiple of 45888 and 45892