What is the Greatest Common Factor of 65040 and 65055?

Greatest common factor (GCF) of 65040 and 65055 is 15.

GCF(65040,65055) = 15

We will now calculate the prime factors of 65040 and 65055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65040 and 65055.

How to find the GCF of 65040 and 65055?

We will first find the prime factorization of 65040 and 65055. After we will calculate the factors of 65040 and 65055 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65055

Prime factors of 65055 are 3, 5, 4337. Prime factorization of 65055 in exponential form is:

65055 = 3¹ × 5¹ × 4337¹

Step-3: Factors of 65040

List of positive integer factors of 65040 that divides 65040 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

Step-4: Factors of 65055

List of positive integer factors of 65055 that divides 65040 without a remainder.

1, 3, 5, 15, 4337, 13011, 21685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65040 and 65055. The biggest common factor number is the GCF number.
So the greatest common factor 65040 and 65055 is 15.

Also check out the Least Common Multiple of 65040 and 65055