What is the Greatest Common Factor of 65490 and 65500?

Greatest common factor (GCF) of 65490 and 65500 is 10.

GCF(65490,65500) = 10

We will now calculate the prime factors of 65490 and 65500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65490 and 65500.

How to find the GCF of 65490 and 65500?

We will first find the prime factorization of 65490 and 65500. After we will calculate the factors of 65490 and 65500 and find the biggest common factor number .

Step-1: Prime Factorization of 65490

Prime factors of 65490 are 2, 3, 5, 37, 59. Prime factorization of 65490 in exponential form is:

65490 = 2¹ × 3¹ × 5¹ × 37¹ × 59¹

Step-2: 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-3: Factors of 65490

List of positive integer factors of 65490 that divides 65490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 59, 74, 111, 118, 177, 185, 222, 295, 354, 370, 555, 590, 885, 1110, 1770, 2183, 4366, 6549, 10915, 13098, 21830, 32745

Step-4: Factors of 65500

List of positive integer factors of 65500 that divides 65490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65490 and 65500. The biggest common factor number is the GCF number.
So the greatest common factor 65490 and 65500 is 10.

Also check out the Least Common Multiple of 65490 and 65500