What is the Greatest Common Factor of 46530 and 46534?

Greatest common factor (GCF) of 46530 and 46534 is 2.

GCF(46530,46534) = 2

We will now calculate the prime factors of 46530 and 46534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46530 and 46534.

How to find the GCF of 46530 and 46534?

We will first find the prime factorization of 46530 and 46534. After we will calculate the factors of 46530 and 46534 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46534

Prime factors of 46534 are 2, 53, 439. Prime factorization of 46534 in exponential form is:

46534 = 2¹ × 53¹ × 439¹

Step-3: Factors of 46530

List of positive integer factors of 46530 that divides 46530 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

Step-4: Factors of 46534

List of positive integer factors of 46534 that divides 46530 without a remainder.

1, 2, 53, 106, 439, 878, 23267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46530 and 46534. The biggest common factor number is the GCF number.
So the greatest common factor 46530 and 46534 is 2.

Also check out the Least Common Multiple of 46530 and 46534