What is the Greatest Common Factor of 49290 and 49296?

Greatest common factor (GCF) of 49290 and 49296 is 6.

GCF(49290,49296) = 6

We will now calculate the prime factors of 49290 and 49296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49290 and 49296.

How to find the GCF of 49290 and 49296?

We will first find the prime factorization of 49290 and 49296. After we will calculate the factors of 49290 and 49296 and find the biggest common factor number .

Step-1: Prime Factorization of 49290

Prime factors of 49290 are 2, 3, 5, 31, 53. Prime factorization of 49290 in exponential form is:

49290 = 2¹ × 3¹ × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 49296

Prime factors of 49296 are 2, 3, 13, 79. Prime factorization of 49296 in exponential form is:

49296 = 2⁴ × 3¹ × 13¹ × 79¹

Step-3: Factors of 49290

List of positive integer factors of 49290 that divides 49290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 53, 62, 93, 106, 155, 159, 186, 265, 310, 318, 465, 530, 795, 930, 1590, 1643, 3286, 4929, 8215, 9858, 16430, 24645

Step-4: Factors of 49296

List of positive integer factors of 49296 that divides 49290 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 79, 104, 156, 158, 208, 237, 312, 316, 474, 624, 632, 948, 1027, 1264, 1896, 2054, 3081, 3792, 4108, 6162, 8216, 12324, 16432, 24648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49290 and 49296. The biggest common factor number is the GCF number.
So the greatest common factor 49290 and 49296 is 6.

Also check out the Least Common Multiple of 49290 and 49296