What is the Greatest Common Factor of 65814 and 65826?

Greatest common factor (GCF) of 65814 and 65826 is 6.

GCF(65814,65826) = 6

We will now calculate the prime factors of 65814 and 65826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65814 and 65826.

How to find the GCF of 65814 and 65826?

We will first find the prime factorization of 65814 and 65826. After we will calculate the factors of 65814 and 65826 and find the biggest common factor number .

Step-1: Prime Factorization of 65814

Prime factors of 65814 are 2, 3, 7, 1567. Prime factorization of 65814 in exponential form is:

65814 = 2¹ × 3¹ × 7¹ × 1567¹

Step-2: Prime Factorization of 65826

Prime factors of 65826 are 2, 3, 23, 53. Prime factorization of 65826 in exponential form is:

65826 = 2¹ × 3³ × 23¹ × 53¹

Step-3: Factors of 65814

List of positive integer factors of 65814 that divides 65814 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1567, 3134, 4701, 9402, 10969, 21938, 32907

Step-4: Factors of 65826

List of positive integer factors of 65826 that divides 65814 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 53, 54, 69, 106, 138, 159, 207, 318, 414, 477, 621, 954, 1219, 1242, 1431, 2438, 2862, 3657, 7314, 10971, 21942, 32913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65814 and 65826. The biggest common factor number is the GCF number.
So the greatest common factor 65814 and 65826 is 6.

Also check out the Least Common Multiple of 65814 and 65826