What is the Greatest Common Factor of 29840 and 29850?

Greatest common factor (GCF) of 29840 and 29850 is 10.

GCF(29840,29850) = 10

We will now calculate the prime factors of 29840 and 29850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29840 and 29850.

How to find the GCF of 29840 and 29850?

We will first find the prime factorization of 29840 and 29850. After we will calculate the factors of 29840 and 29850 and find the biggest common factor number .

Step-1: Prime Factorization of 29840

Prime factors of 29840 are 2, 5, 373. Prime factorization of 29840 in exponential form is:

29840 = 2⁴ × 5¹ × 373¹

Step-2: Prime Factorization of 29850

Prime factors of 29850 are 2, 3, 5, 199. Prime factorization of 29850 in exponential form is:

29850 = 2¹ × 3¹ × 5² × 199¹

Step-3: Factors of 29840

List of positive integer factors of 29840 that divides 29840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 373, 746, 1492, 1865, 2984, 3730, 5968, 7460, 14920

Step-4: Factors of 29850

List of positive integer factors of 29850 that divides 29840 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 199, 398, 597, 995, 1194, 1990, 2985, 4975, 5970, 9950, 14925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29840 and 29850. The biggest common factor number is the GCF number.
So the greatest common factor 29840 and 29850 is 10.

Also check out the Least Common Multiple of 29840 and 29850