What is the Greatest Common Factor of 49632 and 49648?

Greatest common factor (GCF) of 49632 and 49648 is 16.

GCF(49632,49648) = 16

We will now calculate the prime factors of 49632 and 49648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49632 and 49648.

How to find the GCF of 49632 and 49648?

We will first find the prime factorization of 49632 and 49648. After we will calculate the factors of 49632 and 49648 and find the biggest common factor number .

Step-1: Prime Factorization of 49632

Prime factors of 49632 are 2, 3, 11, 47. Prime factorization of 49632 in exponential form is:

49632 = 2⁵ × 3¹ × 11¹ × 47¹

Step-2: 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-3: Factors of 49632

List of positive integer factors of 49632 that divides 49632 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 47, 48, 66, 88, 94, 96, 132, 141, 176, 188, 264, 282, 352, 376, 517, 528, 564, 752, 1034, 1056, 1128, 1504, 1551, 2068, 2256, 3102, 4136, 4512, 6204, 8272, 12408, 16544, 24816

Step-4: Factors of 49648

List of positive integer factors of 49648 that divides 49632 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49632 and 49648. The biggest common factor number is the GCF number.
So the greatest common factor 49632 and 49648 is 16.

Also check out the Least Common Multiple of 49632 and 49648