What is the Greatest Common Factor of 65274 and 65285?

Greatest common factor (GCF) of 65274 and 65285 is 11.

GCF(65274,65285) = 11

We will now calculate the prime factors of 65274 and 65285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65274 and 65285.

How to find the GCF of 65274 and 65285?

We will first find the prime factorization of 65274 and 65285. After we will calculate the factors of 65274 and 65285 and find the biggest common factor number .

Step-1: Prime Factorization of 65274

Prime factors of 65274 are 2, 3, 11, 23, 43. Prime factorization of 65274 in exponential form is:

65274 = 2¹ × 3¹ × 11¹ × 23¹ × 43¹

Step-2: Prime Factorization of 65285

Prime factors of 65285 are 5, 11, 1187. Prime factorization of 65285 in exponential form is:

65285 = 5¹ × 11¹ × 1187¹

Step-3: Factors of 65274

List of positive integer factors of 65274 that divides 65274 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 43, 46, 66, 69, 86, 129, 138, 253, 258, 473, 506, 759, 946, 989, 1419, 1518, 1978, 2838, 2967, 5934, 10879, 21758, 32637

Step-4: Factors of 65285

List of positive integer factors of 65285 that divides 65274 without a remainder.

1, 5, 11, 55, 1187, 5935, 13057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65274 and 65285. The biggest common factor number is the GCF number.
So the greatest common factor 65274 and 65285 is 11.

Also check out the Least Common Multiple of 65274 and 65285