What is the Greatest Common Factor of 29640 and 29646?

Greatest common factor (GCF) of 29640 and 29646 is 6.

GCF(29640,29646) = 6

We will now calculate the prime factors of 29640 and 29646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29640 and 29646.

How to find the GCF of 29640 and 29646?

We will first find the prime factorization of 29640 and 29646. After we will calculate the factors of 29640 and 29646 and find the biggest common factor number .

Step-1: Prime Factorization of 29640

Prime factors of 29640 are 2, 3, 5, 13, 19. Prime factorization of 29640 in exponential form is:

29640 = 2³ × 3¹ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 29646

Prime factors of 29646 are 2, 3, 61. Prime factorization of 29646 in exponential form is:

29646 = 2¹ × 3⁵ × 61¹

Step-3: Factors of 29640

List of positive integer factors of 29640 that divides 29640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 19, 20, 24, 26, 30, 38, 39, 40, 52, 57, 60, 65, 76, 78, 95, 104, 114, 120, 130, 152, 156, 190, 195, 228, 247, 260, 285, 312, 380, 390, 456, 494, 520, 570, 741, 760, 780, 988, 1140, 1235, 1482, 1560, 1976, 2280, 2470, 2964, 3705, 4940, 5928, 7410, 9880, 14820

Step-4: Factors of 29646

List of positive integer factors of 29646 that divides 29640 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 243, 366, 486, 549, 1098, 1647, 3294, 4941, 9882, 14823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29640 and 29646. The biggest common factor number is the GCF number.
So the greatest common factor 29640 and 29646 is 6.

Also check out the Least Common Multiple of 29640 and 29646