What is the Greatest Common Factor of 49648 and 49660?

Greatest common factor (GCF) of 49648 and 49660 is 4.

GCF(49648,49660) = 4

We will now calculate the prime factors of 49648 and 49660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49648 and 49660.

How to find the GCF of 49648 and 49660?

We will first find the prime factorization of 49648 and 49660. After we will calculate the factors of 49648 and 49660 and find the biggest common factor number .

Step-1: Prime Factorization of 49648

Prime factors of 49648 are 2, 29, 107. Prime factorization of 49648 in exponential form is:

49648 = 2⁴ × 29¹ × 107¹

Step-2: Prime Factorization of 49660

Prime factors of 49660 are 2, 5, 13, 191. Prime factorization of 49660 in exponential form is:

49660 = 2² × 5¹ × 13¹ × 191¹

Step-3: Factors of 49648

List of positive integer factors of 49648 that divides 49648 without a remainder.

1, 2, 4, 8, 16, 29, 58, 107, 116, 214, 232, 428, 464, 856, 1712, 3103, 6206, 12412, 24824

Step-4: Factors of 49660

List of positive integer factors of 49660 that divides 49648 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 191, 260, 382, 764, 955, 1910, 2483, 3820, 4966, 9932, 12415, 24830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49648 and 49660. The biggest common factor number is the GCF number.
So the greatest common factor 49648 and 49660 is 4.

Also check out the Least Common Multiple of 49648 and 49660