What is the Greatest Common Factor of 65040 and 65056?

Greatest common factor (GCF) of 65040 and 65056 is 16.

GCF(65040,65056) = 16

We will now calculate the prime factors of 65040 and 65056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65040 and 65056.

How to find the GCF of 65040 and 65056?

We will first find the prime factorization of 65040 and 65056. After we will calculate the factors of 65040 and 65056 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 65056

Prime factors of 65056 are 2, 19, 107. Prime factorization of 65056 in exponential form is:

65056 = 2⁵ × 19¹ × 107¹

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 65056

List of positive integer factors of 65056 that divides 65040 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 107, 152, 214, 304, 428, 608, 856, 1712, 2033, 3424, 4066, 8132, 16264, 32528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65040 and 65056. The biggest common factor number is the GCF number.
So the greatest common factor 65040 and 65056 is 16.

Also check out the Least Common Multiple of 65040 and 65056