What is the Greatest Common Factor of 65632 and 65646?

Greatest common factor (GCF) of 65632 and 65646 is 14.

GCF(65632,65646) = 14

We will now calculate the prime factors of 65632 and 65646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65632 and 65646.

How to find the GCF of 65632 and 65646?

We will first find the prime factorization of 65632 and 65646. After we will calculate the factors of 65632 and 65646 and find the biggest common factor number .

Step-1: Prime Factorization of 65632

Prime factors of 65632 are 2, 7, 293. Prime factorization of 65632 in exponential form is:

65632 = 2⁵ × 7¹ × 293¹

Step-2: Prime Factorization of 65646

Prime factors of 65646 are 2, 3, 7, 521. Prime factorization of 65646 in exponential form is:

65646 = 2¹ × 3² × 7¹ × 521¹

Step-3: Factors of 65632

List of positive integer factors of 65632 that divides 65632 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 293, 586, 1172, 2051, 2344, 4102, 4688, 8204, 9376, 16408, 32816

Step-4: Factors of 65646

List of positive integer factors of 65646 that divides 65632 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 521, 1042, 1563, 3126, 3647, 4689, 7294, 9378, 10941, 21882, 32823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65632 and 65646. The biggest common factor number is the GCF number.
So the greatest common factor 65632 and 65646 is 14.

Also check out the Least Common Multiple of 65632 and 65646