What is the Greatest Common Factor of 29640 and 29650?

Greatest common factor (GCF) of 29640 and 29650 is 10.

GCF(29640,29650) = 10

We will now calculate the prime factors of 29640 and 29650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29640 and 29650.

How to find the GCF of 29640 and 29650?

We will first find the prime factorization of 29640 and 29650. After we will calculate the factors of 29640 and 29650 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 29650

Prime factors of 29650 are 2, 5, 593. Prime factorization of 29650 in exponential form is:

29650 = 2¹ × 5² × 593¹

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 29650

List of positive integer factors of 29650 that divides 29640 without a remainder.

1, 2, 5, 10, 25, 50, 593, 1186, 2965, 5930, 14825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29640 and 29650. The biggest common factor number is the GCF number.
So the greatest common factor 29640 and 29650 is 10.

Also check out the Least Common Multiple of 29640 and 29650