What is the Greatest Common Factor of 47119 and 47138?

Greatest common factor (GCF) of 47119 and 47138 is 1.

GCF(47119,47138) = 1

We will now calculate the prime factors of 47119 and 47138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47119 and 47138.

How to find the GCF of 47119 and 47138?

We will first find the prime factorization of 47119 and 47138. After we will calculate the factors of 47119 and 47138 and find the biggest common factor number .

Step-1: Prime Factorization of 47119

Prime factors of 47119 are 47119. Prime factorization of 47119 in exponential form is:

47119 = 47119¹

Step-2: Prime Factorization of 47138

Prime factors of 47138 are 2, 7, 13, 37. Prime factorization of 47138 in exponential form is:

47138 = 2¹ × 7² × 13¹ × 37¹

Step-3: Factors of 47119

List of positive integer factors of 47119 that divides 47119 without a remainder.

Step-4: Factors of 47138

List of positive integer factors of 47138 that divides 47119 without a remainder.

1, 2, 7, 13, 14, 26, 37, 49, 74, 91, 98, 182, 259, 481, 518, 637, 962, 1274, 1813, 3367, 3626, 6734, 23569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47119 and 47138. The biggest common factor number is the GCF number.
So the greatest common factor 47119 and 47138 is 1.

Also check out the Least Common Multiple of 47119 and 47138