What is the Greatest Common Factor of 64542 and 64560?

Greatest common factor (GCF) of 64542 and 64560 is 6.

GCF(64542,64560) = 6

We will now calculate the prime factors of 64542 and 64560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64542 and 64560.

How to find the GCF of 64542 and 64560?

We will first find the prime factorization of 64542 and 64560. After we will calculate the factors of 64542 and 64560 and find the biggest common factor number .

Step-1: Prime Factorization of 64542

Prime factors of 64542 are 2, 3, 31, 347. Prime factorization of 64542 in exponential form is:

64542 = 2¹ × 3¹ × 31¹ × 347¹

Step-2: Prime Factorization of 64560

Prime factors of 64560 are 2, 3, 5, 269. Prime factorization of 64560 in exponential form is:

64560 = 2⁴ × 3¹ × 5¹ × 269¹

Step-3: Factors of 64542

List of positive integer factors of 64542 that divides 64542 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 347, 694, 1041, 2082, 10757, 21514, 32271

Step-4: Factors of 64560

List of positive integer factors of 64560 that divides 64542 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 269, 538, 807, 1076, 1345, 1614, 2152, 2690, 3228, 4035, 4304, 5380, 6456, 8070, 10760, 12912, 16140, 21520, 32280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64542 and 64560. The biggest common factor number is the GCF number.
So the greatest common factor 64542 and 64560 is 6.

Also check out the Least Common Multiple of 64542 and 64560