What is the Greatest Common Factor of 65025 and 65040?

Greatest common factor (GCF) of 65025 and 65040 is 15.

GCF(65025,65040) = 15

We will now calculate the prime factors of 65025 and 65040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65025 and 65040.

How to find the GCF of 65025 and 65040?

We will first find the prime factorization of 65025 and 65040. After we will calculate the factors of 65025 and 65040 and find the biggest common factor number .

Step-1: Prime Factorization of 65025

Prime factors of 65025 are 3, 5, 17. Prime factorization of 65025 in exponential form is:

65025 = 3² × 5² × 17²

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 65025

List of positive integer factors of 65025 that divides 65025 without a remainder.

1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 289, 425, 765, 867, 1275, 1445, 2601, 3825, 4335, 7225, 13005, 21675

Step-4: Factors of 65040

List of positive integer factors of 65040 that divides 65025 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 65025 and 65040. The biggest common factor number is the GCF number.
So the greatest common factor 65025 and 65040 is 15.

Also check out the Least Common Multiple of 65025 and 65040