What is the Greatest Common Factor of 45840 and 45850?

Greatest common factor (GCF) of 45840 and 45850 is 10.

GCF(45840,45850) = 10

We will now calculate the prime factors of 45840 and 45850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45850.

How to find the GCF of 45840 and 45850?

We will first find the prime factorization of 45840 and 45850. After we will calculate the factors of 45840 and 45850 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 45850

Prime factors of 45850 are 2, 5, 7, 131. Prime factorization of 45850 in exponential form is:

45850 = 2¹ × 5² × 7¹ × 131¹

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 45850

List of positive integer factors of 45850 that divides 45840 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 131, 175, 262, 350, 655, 917, 1310, 1834, 3275, 4585, 6550, 9170, 22925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45850. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45850 is 10.

Also check out the Least Common Multiple of 45840 and 45850