What is the Greatest Common Factor of 47119 and 47124?

Greatest common factor (GCF) of 47119 and 47124 is 1.

GCF(47119,47124) = 1

We will now calculate the prime factors of 47119 and 47124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47119 and 47124.

How to find the GCF of 47119 and 47124?

We will first find the prime factorization of 47119 and 47124. After we will calculate the factors of 47119 and 47124 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 47124

Prime factors of 47124 are 2, 3, 7, 11, 17. Prime factorization of 47124 in exponential form is:

47124 = 2² × 3² × 7¹ × 11¹ × 17¹

Step-3: Factors of 47119

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

Step-4: Factors of 47124

List of positive integer factors of 47124 that divides 47119 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 17, 18, 21, 22, 28, 33, 34, 36, 42, 44, 51, 63, 66, 68, 77, 84, 99, 102, 119, 126, 132, 153, 154, 187, 198, 204, 231, 238, 252, 306, 308, 357, 374, 396, 462, 476, 561, 612, 693, 714, 748, 924, 1071, 1122, 1309, 1386, 1428, 1683, 2142, 2244, 2618, 2772, 3366, 3927, 4284, 5236, 6732, 7854, 11781, 15708, 23562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47119 and 47124. The biggest common factor number is the GCF number.
So the greatest common factor 47119 and 47124 is 1.

Also check out the Least Common Multiple of 47119 and 47124