What is the Greatest Common Factor of 45870 and 45890?

Greatest common factor (GCF) of 45870 and 45890 is 10.

GCF(45870,45890) = 10

We will now calculate the prime factors of 45870 and 45890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45870 and 45890.

How to find the GCF of 45870 and 45890?

We will first find the prime factorization of 45870 and 45890. After we will calculate the factors of 45870 and 45890 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 45890

Prime factors of 45890 are 2, 5, 13, 353. Prime factorization of 45890 in exponential form is:

45890 = 2¹ × 5¹ × 13¹ × 353¹

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 45890

List of positive integer factors of 45890 that divides 45870 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 353, 706, 1765, 3530, 4589, 9178, 22945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45870 and 45890. The biggest common factor number is the GCF number.
So the greatest common factor 45870 and 45890 is 10.

Also check out the Least Common Multiple of 45870 and 45890