What is the Greatest Common Factor of 65028 and 65040?

Greatest common factor (GCF) of 65028 and 65040 is 12.

GCF(65028,65040) = 12

We will now calculate the prime factors of 65028 and 65040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65028 and 65040.

How to find the GCF of 65028 and 65040?

We will first find the prime factorization of 65028 and 65040. After we will calculate the factors of 65028 and 65040 and find the biggest common factor number .

Step-1: Prime Factorization of 65028

Prime factors of 65028 are 2, 3, 5419. Prime factorization of 65028 in exponential form is:

65028 = 2² × 3¹ × 5419¹

Step-2: Prime Factorization of 65040

Prime factors of 65040 are 2, 3, 5, 271. Prime factorization of 65040 in exponential form is:

65040 = 2⁴ × 3¹ × 5¹ × 271¹

Step-3: Factors of 65028

List of positive integer factors of 65028 that divides 65028 without a remainder.

1, 2, 3, 4, 6, 12, 5419, 10838, 16257, 21676, 32514

Step-4: Factors of 65040

List of positive integer factors of 65040 that divides 65028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 271, 542, 813, 1084, 1355, 1626, 2168, 2710, 3252, 4065, 4336, 5420, 6504, 8130, 10840, 13008, 16260, 21680, 32520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65028 and 65040. The biggest common factor number is the GCF number.
So the greatest common factor 65028 and 65040 is 12.

Also check out the Least Common Multiple of 65028 and 65040