What is the Greatest Common Factor of 45850 and 45870?

Greatest common factor (GCF) of 45850 and 45870 is 10.

GCF(45850,45870) = 10

We will now calculate the prime factors of 45850 and 45870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45850 and 45870.

How to find the GCF of 45850 and 45870?

We will first find the prime factorization of 45850 and 45870. After we will calculate the factors of 45850 and 45870 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 45850

List of positive integer factors of 45850 that divides 45850 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

Step-4: Factors of 45870

List of positive integer factors of 45870 that divides 45850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45850 and 45870. The biggest common factor number is the GCF number.
So the greatest common factor 45850 and 45870 is 10.

Also check out the Least Common Multiple of 45850 and 45870