What is the Greatest Common Factor of 65250 and 65270?

Greatest common factor (GCF) of 65250 and 65270 is 10.

GCF(65250,65270) = 10

We will now calculate the prime factors of 65250 and 65270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65250 and 65270.

How to find the GCF of 65250 and 65270?

We will first find the prime factorization of 65250 and 65270. After we will calculate the factors of 65250 and 65270 and find the biggest common factor number .

Step-1: Prime Factorization of 65250

Prime factors of 65250 are 2, 3, 5, 29. Prime factorization of 65250 in exponential form is:

65250 = 2¹ × 3² × 5³ × 29¹

Step-2: Prime Factorization of 65270

Prime factors of 65270 are 2, 5, 61, 107. Prime factorization of 65270 in exponential form is:

65270 = 2¹ × 5¹ × 61¹ × 107¹

Step-3: Factors of 65250

List of positive integer factors of 65250 that divides 65250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 29, 30, 45, 50, 58, 75, 87, 90, 125, 145, 150, 174, 225, 250, 261, 290, 375, 435, 450, 522, 725, 750, 870, 1125, 1305, 1450, 2175, 2250, 2610, 3625, 4350, 6525, 7250, 10875, 13050, 21750, 32625

Step-4: Factors of 65270

List of positive integer factors of 65270 that divides 65250 without a remainder.

1, 2, 5, 10, 61, 107, 122, 214, 305, 535, 610, 1070, 6527, 13054, 32635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65250 and 65270. The biggest common factor number is the GCF number.
So the greatest common factor 65250 and 65270 is 10.

Also check out the Least Common Multiple of 65250 and 65270