What is the Greatest Common Factor of 49628 and 49632?

Greatest common factor (GCF) of 49628 and 49632 is 4.

GCF(49628,49632) = 4

We will now calculate the prime factors of 49628 and 49632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49628 and 49632.

How to find the GCF of 49628 and 49632?

We will first find the prime factorization of 49628 and 49632. After we will calculate the factors of 49628 and 49632 and find the biggest common factor number .

Step-1: Prime Factorization of 49628

Prime factors of 49628 are 2, 19, 653. Prime factorization of 49628 in exponential form is:

49628 = 2² × 19¹ × 653¹

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 49628

List of positive integer factors of 49628 that divides 49628 without a remainder.

1, 2, 4, 19, 38, 76, 653, 1306, 2612, 12407, 24814

Step-4: Factors of 49632

List of positive integer factors of 49632 that divides 49628 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 49628 and 49632. The biggest common factor number is the GCF number.
So the greatest common factor 49628 and 49632 is 4.

Also check out the Least Common Multiple of 49628 and 49632