What is the Greatest Common Factor of 64470 and 64488?

Greatest common factor (GCF) of 64470 and 64488 is 6.

GCF(64470,64488) = 6

We will now calculate the prime factors of 64470 and 64488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64470 and 64488.

How to find the GCF of 64470 and 64488?

We will first find the prime factorization of 64470 and 64488. After we will calculate the factors of 64470 and 64488 and find the biggest common factor number .

Step-1: Prime Factorization of 64470

Prime factors of 64470 are 2, 3, 5, 7, 307. Prime factorization of 64470 in exponential form is:

64470 = 2¹ × 3¹ × 5¹ × 7¹ × 307¹

Step-2: Prime Factorization of 64488

Prime factors of 64488 are 2, 3, 2687. Prime factorization of 64488 in exponential form is:

64488 = 2³ × 3¹ × 2687¹

Step-3: Factors of 64470

List of positive integer factors of 64470 that divides 64470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 307, 614, 921, 1535, 1842, 2149, 3070, 4298, 4605, 6447, 9210, 10745, 12894, 21490, 32235

Step-4: Factors of 64488

List of positive integer factors of 64488 that divides 64470 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2687, 5374, 8061, 10748, 16122, 21496, 32244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64470 and 64488. The biggest common factor number is the GCF number.
So the greatest common factor 64470 and 64488 is 6.

Also check out the Least Common Multiple of 64470 and 64488