What is the Greatest Common Factor of 49805 and 49820?

Greatest common factor (GCF) of 49805 and 49820 is 5.

GCF(49805,49820) = 5

We will now calculate the prime factors of 49805 and 49820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49805 and 49820.

How to find the GCF of 49805 and 49820?

We will first find the prime factorization of 49805 and 49820. After we will calculate the factors of 49805 and 49820 and find the biggest common factor number .

Step-1: Prime Factorization of 49805

Prime factors of 49805 are 5, 7, 1423. Prime factorization of 49805 in exponential form is:

49805 = 5¹ × 7¹ × 1423¹

Step-2: Prime Factorization of 49820

Prime factors of 49820 are 2, 5, 47, 53. Prime factorization of 49820 in exponential form is:

49820 = 2² × 5¹ × 47¹ × 53¹

Step-3: Factors of 49805

List of positive integer factors of 49805 that divides 49805 without a remainder.

1, 5, 7, 35, 1423, 7115, 9961

Step-4: Factors of 49820

List of positive integer factors of 49820 that divides 49805 without a remainder.

1, 2, 4, 5, 10, 20, 47, 53, 94, 106, 188, 212, 235, 265, 470, 530, 940, 1060, 2491, 4982, 9964, 12455, 24910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49805 and 49820. The biggest common factor number is the GCF number.
So the greatest common factor 49805 and 49820 is 5.

Also check out the Least Common Multiple of 49805 and 49820