What is the Greatest Common Factor of 64452 and 64470?

Greatest common factor (GCF) of 64452 and 64470 is 6.

GCF(64452,64470) = 6

We will now calculate the prime factors of 64452 and 64470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64452 and 64470.

How to find the GCF of 64452 and 64470?

We will first find the prime factorization of 64452 and 64470. After we will calculate the factors of 64452 and 64470 and find the biggest common factor number .

Step-1: Prime Factorization of 64452

Prime factors of 64452 are 2, 3, 41, 131. Prime factorization of 64452 in exponential form is:

64452 = 2² × 3¹ × 41¹ × 131¹

Step-2: 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-3: Factors of 64452

List of positive integer factors of 64452 that divides 64452 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 131, 164, 246, 262, 393, 492, 524, 786, 1572, 5371, 10742, 16113, 21484, 32226

Step-4: Factors of 64470

List of positive integer factors of 64470 that divides 64452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64452 and 64470. The biggest common factor number is the GCF number.
So the greatest common factor 64452 and 64470 is 6.

Also check out the Least Common Multiple of 64452 and 64470