What is the Greatest Common Factor of 46542 and 46560?

Greatest common factor (GCF) of 46542 and 46560 is 6.

GCF(46542,46560) = 6

We will now calculate the prime factors of 46542 and 46560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46542 and 46560.

How to find the GCF of 46542 and 46560?

We will first find the prime factorization of 46542 and 46560. After we will calculate the factors of 46542 and 46560 and find the biggest common factor number .

Step-1: Prime Factorization of 46542

Prime factors of 46542 are 2, 3, 7757. Prime factorization of 46542 in exponential form is:

46542 = 2¹ × 3¹ × 7757¹

Step-2: Prime Factorization of 46560

Prime factors of 46560 are 2, 3, 5, 97. Prime factorization of 46560 in exponential form is:

46560 = 2⁵ × 3¹ × 5¹ × 97¹

Step-3: Factors of 46542

List of positive integer factors of 46542 that divides 46542 without a remainder.

1, 2, 3, 6, 7757, 15514, 23271

Step-4: Factors of 46560

List of positive integer factors of 46560 that divides 46542 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 97, 120, 160, 194, 240, 291, 388, 480, 485, 582, 776, 970, 1164, 1455, 1552, 1940, 2328, 2910, 3104, 3880, 4656, 5820, 7760, 9312, 11640, 15520, 23280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46542 and 46560. The biggest common factor number is the GCF number.
So the greatest common factor 46542 and 46560 is 6.

Also check out the Least Common Multiple of 46542 and 46560