What is the Greatest Common Factor of 65632 and 65648?

Greatest common factor (GCF) of 65632 and 65648 is 16.

GCF(65632,65648) = 16

We will now calculate the prime factors of 65632 and 65648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65632 and 65648.

How to find the GCF of 65632 and 65648?

We will first find the prime factorization of 65632 and 65648. After we will calculate the factors of 65632 and 65648 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 65648

Prime factors of 65648 are 2, 11, 373. Prime factorization of 65648 in exponential form is:

65648 = 2⁴ × 11¹ × 373¹

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 65648

List of positive integer factors of 65648 that divides 65632 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 373, 746, 1492, 2984, 4103, 5968, 8206, 16412, 32824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65632 and 65648. The biggest common factor number is the GCF number.
So the greatest common factor 65632 and 65648 is 16.

Also check out the Least Common Multiple of 65632 and 65648