What is the Greatest Common Factor of 65040 and 65050?

Greatest common factor (GCF) of 65040 and 65050 is 10.

GCF(65040,65050) = 10

We will now calculate the prime factors of 65040 and 65050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65040 and 65050.

How to find the GCF of 65040 and 65050?

We will first find the prime factorization of 65040 and 65050. After we will calculate the factors of 65040 and 65050 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 65050

Prime factors of 65050 are 2, 5, 1301. Prime factorization of 65050 in exponential form is:

65050 = 2¹ × 5² × 1301¹

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 65050

List of positive integer factors of 65050 that divides 65040 without a remainder.

1, 2, 5, 10, 25, 50, 1301, 2602, 6505, 13010, 32525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65040 and 65050. The biggest common factor number is the GCF number.
So the greatest common factor 65040 and 65050 is 10.

Also check out the Least Common Multiple of 65040 and 65050