What is the Greatest Common Factor of 49632 and 49644?

Greatest common factor (GCF) of 49632 and 49644 is 12.

GCF(49632,49644) = 12

We will now calculate the prime factors of 49632 and 49644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49632 and 49644.

How to find the GCF of 49632 and 49644?

We will first find the prime factorization of 49632 and 49644. After we will calculate the factors of 49632 and 49644 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 49644

Prime factors of 49644 are 2, 3, 7, 197. Prime factorization of 49644 in exponential form is:

49644 = 2² × 3² × 7¹ × 197¹

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 49644

List of positive integer factors of 49644 that divides 49632 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 197, 252, 394, 591, 788, 1182, 1379, 1773, 2364, 2758, 3546, 4137, 5516, 7092, 8274, 12411, 16548, 24822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49632 and 49644. The biggest common factor number is the GCF number.
So the greatest common factor 49632 and 49644 is 12.

Also check out the Least Common Multiple of 49632 and 49644