What is the Greatest Common Factor of 65040 and 65045?

Greatest common factor (GCF) of 65040 and 65045 is 5.

GCF(65040,65045) = 5

We will now calculate the prime factors of 65040 and 65045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65040 and 65045.

How to find the GCF of 65040 and 65045?

We will first find the prime factorization of 65040 and 65045. After we will calculate the factors of 65040 and 65045 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 65045

Prime factors of 65045 are 5, 13009. Prime factorization of 65045 in exponential form is:

65045 = 5¹ × 13009¹

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 65045

List of positive integer factors of 65045 that divides 65040 without a remainder.

1, 5, 13009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65040 and 65045. The biggest common factor number is the GCF number.
So the greatest common factor 65040 and 65045 is 5.

Also check out the Least Common Multiple of 65040 and 65045