What is the Greatest Common Factor of 65440 and 65450?

Greatest common factor (GCF) of 65440 and 65450 is 10.

GCF(65440,65450) = 10

We will now calculate the prime factors of 65440 and 65450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65440 and 65450.

How to find the GCF of 65440 and 65450?

We will first find the prime factorization of 65440 and 65450. After we will calculate the factors of 65440 and 65450 and find the biggest common factor number .

Step-1: Prime Factorization of 65440

Prime factors of 65440 are 2, 5, 409. Prime factorization of 65440 in exponential form is:

65440 = 2⁵ × 5¹ × 409¹

Step-2: Prime Factorization of 65450

Prime factors of 65450 are 2, 5, 7, 11, 17. Prime factorization of 65450 in exponential form is:

65450 = 2¹ × 5² × 7¹ × 11¹ × 17¹

Step-3: Factors of 65440

List of positive integer factors of 65440 that divides 65440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 409, 818, 1636, 2045, 3272, 4090, 6544, 8180, 13088, 16360, 32720

Step-4: Factors of 65450

List of positive integer factors of 65450 that divides 65440 without a remainder.

1, 2, 5, 7, 10, 11, 14, 17, 22, 25, 34, 35, 50, 55, 70, 77, 85, 110, 119, 154, 170, 175, 187, 238, 275, 350, 374, 385, 425, 550, 595, 770, 850, 935, 1190, 1309, 1870, 1925, 2618, 2975, 3850, 4675, 5950, 6545, 9350, 13090, 32725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65440 and 65450. The biggest common factor number is the GCF number.
So the greatest common factor 65440 and 65450 is 10.

Also check out the Least Common Multiple of 65440 and 65450