What is the Greatest Common Factor of 46525 and 46530?

Greatest common factor (GCF) of 46525 and 46530 is 5.

GCF(46525,46530) = 5

We will now calculate the prime factors of 46525 and 46530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46525 and 46530.

How to find the GCF of 46525 and 46530?

We will first find the prime factorization of 46525 and 46530. After we will calculate the factors of 46525 and 46530 and find the biggest common factor number .

Step-1: Prime Factorization of 46525

Prime factors of 46525 are 5, 1861. Prime factorization of 46525 in exponential form is:

46525 = 5² × 1861¹

Step-2: Prime Factorization of 46530

Prime factors of 46530 are 2, 3, 5, 11, 47. Prime factorization of 46530 in exponential form is:

46530 = 2¹ × 3² × 5¹ × 11¹ × 47¹

Step-3: Factors of 46525

List of positive integer factors of 46525 that divides 46525 without a remainder.

1, 5, 25, 1861, 9305

Step-4: Factors of 46530

List of positive integer factors of 46530 that divides 46525 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 47, 55, 66, 90, 94, 99, 110, 141, 165, 198, 235, 282, 330, 423, 470, 495, 517, 705, 846, 990, 1034, 1410, 1551, 2115, 2585, 3102, 4230, 4653, 5170, 7755, 9306, 15510, 23265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46525 and 46530. The biggest common factor number is the GCF number.
So the greatest common factor 46525 and 46530 is 5.

Also check out the Least Common Multiple of 46525 and 46530