What is the Greatest Common Factor of 65500 and 65512?

Greatest common factor (GCF) of 65500 and 65512 is 4.

GCF(65500,65512) = 4

We will now calculate the prime factors of 65500 and 65512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65500 and 65512.

How to find the GCF of 65500 and 65512?

We will first find the prime factorization of 65500 and 65512. After we will calculate the factors of 65500 and 65512 and find the biggest common factor number .

Step-1: Prime Factorization of 65500

Prime factors of 65500 are 2, 5, 131. Prime factorization of 65500 in exponential form is:

65500 = 2² × 5³ × 131¹

Step-2: Prime Factorization of 65512

Prime factors of 65512 are 2, 19, 431. Prime factorization of 65512 in exponential form is:

65512 = 2³ × 19¹ × 431¹

Step-3: Factors of 65500

List of positive integer factors of 65500 that divides 65500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 131, 250, 262, 500, 524, 655, 1310, 2620, 3275, 6550, 13100, 16375, 32750

Step-4: Factors of 65512

List of positive integer factors of 65512 that divides 65500 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 431, 862, 1724, 3448, 8189, 16378, 32756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65500 and 65512. The biggest common factor number is the GCF number.
So the greatest common factor 65500 and 65512 is 4.

Also check out the Least Common Multiple of 65500 and 65512