What is the Greatest Common Factor of 65648 and 65654?

Greatest common factor (GCF) of 65648 and 65654 is 2.

GCF(65648,65654) = 2

We will now calculate the prime factors of 65648 and 65654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65648 and 65654.

How to find the GCF of 65648 and 65654?

We will first find the prime factorization of 65648 and 65654. After we will calculate the factors of 65648 and 65654 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65654

Prime factors of 65654 are 2, 17, 1931. Prime factorization of 65654 in exponential form is:

65654 = 2¹ × 17¹ × 1931¹

Step-3: Factors of 65648

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

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

Step-4: Factors of 65654

List of positive integer factors of 65654 that divides 65648 without a remainder.

1, 2, 17, 34, 1931, 3862, 32827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65648 and 65654. The biggest common factor number is the GCF number.
So the greatest common factor 65648 and 65654 is 2.

Also check out the Least Common Multiple of 65648 and 65654