What is the Greatest Common Factor of 65634 and 65648?

Greatest common factor (GCF) of 65634 and 65648 is 2.

GCF(65634,65648) = 2

We will now calculate the prime factors of 65634 and 65648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65634 and 65648.

How to find the GCF of 65634 and 65648?

We will first find the prime factorization of 65634 and 65648. After we will calculate the factors of 65634 and 65648 and find the biggest common factor number .

Step-1: Prime Factorization of 65634

Prime factors of 65634 are 2, 3, 10939. Prime factorization of 65634 in exponential form is:

65634 = 2¹ × 3¹ × 10939¹

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 65634

List of positive integer factors of 65634 that divides 65634 without a remainder.

1, 2, 3, 6, 10939, 21878, 32817

Step-4: Factors of 65648

List of positive integer factors of 65648 that divides 65634 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 65634 and 65648. The biggest common factor number is the GCF number.
So the greatest common factor 65634 and 65648 is 2.

Also check out the Least Common Multiple of 65634 and 65648