What is the Greatest Common Factor of 47600 and 47620?

Greatest common factor (GCF) of 47600 and 47620 is 20.

GCF(47600,47620) = 20

We will now calculate the prime factors of 47600 and 47620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47600 and 47620.

How to find the GCF of 47600 and 47620?

We will first find the prime factorization of 47600 and 47620. After we will calculate the factors of 47600 and 47620 and find the biggest common factor number .

Step-1: Prime Factorization of 47600

Prime factors of 47600 are 2, 5, 7, 17. Prime factorization of 47600 in exponential form is:

47600 = 2⁴ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 47620

Prime factors of 47620 are 2, 5, 2381. Prime factorization of 47620 in exponential form is:

47620 = 2² × 5¹ × 2381¹

Step-3: Factors of 47600

List of positive integer factors of 47600 that divides 47600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 80, 85, 100, 112, 119, 136, 140, 170, 175, 200, 238, 272, 280, 340, 350, 400, 425, 476, 560, 595, 680, 700, 850, 952, 1190, 1360, 1400, 1700, 1904, 2380, 2800, 2975, 3400, 4760, 5950, 6800, 9520, 11900, 23800

Step-4: Factors of 47620

List of positive integer factors of 47620 that divides 47600 without a remainder.

1, 2, 4, 5, 10, 20, 2381, 4762, 9524, 11905, 23810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47600 and 47620. The biggest common factor number is the GCF number.
So the greatest common factor 47600 and 47620 is 20.

Also check out the Least Common Multiple of 47600 and 47620