What is the Greatest Common Factor of 47082 and 47100?

Greatest common factor (GCF) of 47082 and 47100 is 6.

GCF(47082,47100) = 6

We will now calculate the prime factors of 47082 and 47100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47082 and 47100.

How to find the GCF of 47082 and 47100?

We will first find the prime factorization of 47082 and 47100. After we will calculate the factors of 47082 and 47100 and find the biggest common factor number .

Step-1: Prime Factorization of 47082

Prime factors of 47082 are 2, 3, 7, 19, 59. Prime factorization of 47082 in exponential form is:

47082 = 2¹ × 3¹ × 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 47100

Prime factors of 47100 are 2, 3, 5, 157. Prime factorization of 47100 in exponential form is:

47100 = 2² × 3¹ × 5² × 157¹

Step-3: Factors of 47082

List of positive integer factors of 47082 that divides 47082 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 59, 114, 118, 133, 177, 266, 354, 399, 413, 798, 826, 1121, 1239, 2242, 2478, 3363, 6726, 7847, 15694, 23541

Step-4: Factors of 47100

List of positive integer factors of 47100 that divides 47082 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 157, 300, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 3925, 4710, 7850, 9420, 11775, 15700, 23550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47082 and 47100. The biggest common factor number is the GCF number.
So the greatest common factor 47082 and 47100 is 6.

Also check out the Least Common Multiple of 47082 and 47100