What is the Greatest Common Factor of 49632 and 49641?

Greatest common factor (GCF) of 49632 and 49641 is 3.

GCF(49632,49641) = 3

We will now calculate the prime factors of 49632 and 49641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49632 and 49641.

How to find the GCF of 49632 and 49641?

We will first find the prime factorization of 49632 and 49641. After we will calculate the factors of 49632 and 49641 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 49641

Prime factors of 49641 are 3, 16547. Prime factorization of 49641 in exponential form is:

49641 = 3¹ × 16547¹

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 49641

List of positive integer factors of 49641 that divides 49632 without a remainder.

1, 3, 16547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49632 and 49641. The biggest common factor number is the GCF number.
So the greatest common factor 49632 and 49641 is 3.

Also check out the Least Common Multiple of 49632 and 49641