What is the Greatest Common Factor of 45900 and 45907?

Greatest common factor (GCF) of 45900 and 45907 is 1.

GCF(45900,45907) = 1

We will now calculate the prime factors of 45900 and 45907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45900 and 45907.

How to find the GCF of 45900 and 45907?

We will first find the prime factorization of 45900 and 45907. After we will calculate the factors of 45900 and 45907 and find the biggest common factor number .

Step-1: Prime Factorization of 45900

Prime factors of 45900 are 2, 3, 5, 17. Prime factorization of 45900 in exponential form is:

45900 = 2² × 3³ × 5² × 17¹

Step-2: Prime Factorization of 45907

Prime factors of 45907 are 29, 1583. Prime factorization of 45907 in exponential form is:

45907 = 29¹ × 1583¹

Step-3: Factors of 45900

List of positive integer factors of 45900 that divides 45900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 25, 27, 30, 34, 36, 45, 50, 51, 54, 60, 68, 75, 85, 90, 100, 102, 108, 135, 150, 153, 170, 180, 204, 225, 255, 270, 300, 306, 340, 425, 450, 459, 510, 540, 612, 675, 765, 850, 900, 918, 1020, 1275, 1350, 1530, 1700, 1836, 2295, 2550, 2700, 3060, 3825, 4590, 5100, 7650, 9180, 11475, 15300, 22950

Step-4: Factors of 45907

List of positive integer factors of 45907 that divides 45900 without a remainder.

1, 29, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45900 and 45907. The biggest common factor number is the GCF number.
So the greatest common factor 45900 and 45907 is 1.

Also check out the Least Common Multiple of 45900 and 45907