What is the Greatest Common Factor of 65628 and 65648?

Greatest common factor (GCF) of 65628 and 65648 is 4.

GCF(65628,65648) = 4

We will now calculate the prime factors of 65628 and 65648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65628 and 65648.

How to find the GCF of 65628 and 65648?

We will first find the prime factorization of 65628 and 65648. After we will calculate the factors of 65628 and 65648 and find the biggest common factor number .

Step-1: Prime Factorization of 65628

Prime factors of 65628 are 2, 3, 1823. Prime factorization of 65628 in exponential form is:

65628 = 2² × 3² × 1823¹

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 65628

List of positive integer factors of 65628 that divides 65628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1823, 3646, 5469, 7292, 10938, 16407, 21876, 32814

Step-4: Factors of 65648

List of positive integer factors of 65648 that divides 65628 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 65628 and 65648. The biggest common factor number is the GCF number.
So the greatest common factor 65628 and 65648 is 4.

Also check out the Least Common Multiple of 65628 and 65648