What is the Greatest Common Factor of 65064 and 65070?

Greatest common factor (GCF) of 65064 and 65070 is 6.

GCF(65064,65070) = 6

We will now calculate the prime factors of 65064 and 65070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65064 and 65070.

How to find the GCF of 65064 and 65070?

We will first find the prime factorization of 65064 and 65070. After we will calculate the factors of 65064 and 65070 and find the biggest common factor number .

Step-1: Prime Factorization of 65064

Prime factors of 65064 are 2, 3, 2711. Prime factorization of 65064 in exponential form is:

65064 = 2³ × 3¹ × 2711¹

Step-2: Prime Factorization of 65070

Prime factors of 65070 are 2, 3, 5, 241. Prime factorization of 65070 in exponential form is:

65070 = 2¹ × 3³ × 5¹ × 241¹

Step-3: Factors of 65064

List of positive integer factors of 65064 that divides 65064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2711, 5422, 8133, 10844, 16266, 21688, 32532

Step-4: Factors of 65070

List of positive integer factors of 65070 that divides 65064 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 241, 270, 482, 723, 1205, 1446, 2169, 2410, 3615, 4338, 6507, 7230, 10845, 13014, 21690, 32535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65064 and 65070. The biggest common factor number is the GCF number.
So the greatest common factor 65064 and 65070 is 6.

Also check out the Least Common Multiple of 65064 and 65070