What is the Greatest Common Factor of 47082 and 47101?

Greatest common factor (GCF) of 47082 and 47101 is 19.

GCF(47082,47101) = 19

We will now calculate the prime factors of 47082 and 47101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47082 and 47101.

How to find the GCF of 47082 and 47101?

We will first find the prime factorization of 47082 and 47101. After we will calculate the factors of 47082 and 47101 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 47101

Prime factors of 47101 are 19, 37, 67. Prime factorization of 47101 in exponential form is:

47101 = 19¹ × 37¹ × 67¹

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 47101

List of positive integer factors of 47101 that divides 47082 without a remainder.

1, 19, 37, 67, 703, 1273, 2479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47082 and 47101. The biggest common factor number is the GCF number.
So the greatest common factor 47082 and 47101 is 19.

Also check out the Least Common Multiple of 47082 and 47101