What is the Greatest Common Factor of 65450 and 65464?

Greatest common factor (GCF) of 65450 and 65464 is 14.

GCF(65450,65464) = 14

We will now calculate the prime factors of 65450 and 65464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65450 and 65464.

How to find the GCF of 65450 and 65464?

We will first find the prime factorization of 65450 and 65464. After we will calculate the factors of 65450 and 65464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65464

Prime factors of 65464 are 2, 7, 167. Prime factorization of 65464 in exponential form is:

65464 = 2³ × 7² × 167¹

Step-3: Factors of 65450

List of positive integer factors of 65450 that divides 65450 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

Step-4: Factors of 65464

List of positive integer factors of 65464 that divides 65450 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 167, 196, 334, 392, 668, 1169, 1336, 2338, 4676, 8183, 9352, 16366, 32732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65450 and 65464. The biggest common factor number is the GCF number.
So the greatest common factor 65450 and 65464 is 14.

Also check out the Least Common Multiple of 65450 and 65464