What is the Greatest Common Factor of 49621 and 49632?

Greatest common factor (GCF) of 49621 and 49632 is 11.

GCF(49621,49632) = 11

We will now calculate the prime factors of 49621 and 49632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49621 and 49632.

How to find the GCF of 49621 and 49632?

We will first find the prime factorization of 49621 and 49632. After we will calculate the factors of 49621 and 49632 and find the biggest common factor number .

Step-1: Prime Factorization of 49621

Prime factors of 49621 are 11, 13, 347. Prime factorization of 49621 in exponential form is:

49621 = 11¹ × 13¹ × 347¹

Step-2: 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-3: Factors of 49621

List of positive integer factors of 49621 that divides 49621 without a remainder.

1, 11, 13, 143, 347, 3817, 4511

Step-4: Factors of 49632

List of positive integer factors of 49632 that divides 49621 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49621 and 49632. The biggest common factor number is the GCF number.
So the greatest common factor 49621 and 49632 is 11.

Also check out the Least Common Multiple of 49621 and 49632