What is the Greatest Common Factor of 29640 and 29653?

Greatest common factor (GCF) of 29640 and 29653 is 13.

GCF(29640,29653) = 13

We will now calculate the prime factors of 29640 and 29653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29640 and 29653.

How to find the GCF of 29640 and 29653?

We will first find the prime factorization of 29640 and 29653. After we will calculate the factors of 29640 and 29653 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 29653

Prime factors of 29653 are 13, 2281. Prime factorization of 29653 in exponential form is:

29653 = 13¹ × 2281¹

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 29653

List of positive integer factors of 29653 that divides 29640 without a remainder.

1, 13, 2281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29640 and 29653. The biggest common factor number is the GCF number.
So the greatest common factor 29640 and 29653 is 13.

Also check out the Least Common Multiple of 29640 and 29653