What is the Greatest Common Factor of 47124 and 47135?

Greatest common factor (GCF) of 47124 and 47135 is 11.

GCF(47124,47135) = 11

We will now calculate the prime factors of 47124 and 47135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47124 and 47135.

How to find the GCF of 47124 and 47135?

We will first find the prime factorization of 47124 and 47135. After we will calculate the factors of 47124 and 47135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47135

Prime factors of 47135 are 5, 11, 857. Prime factorization of 47135 in exponential form is:

47135 = 5¹ × 11¹ × 857¹

Step-3: Factors of 47124

List of positive integer factors of 47124 that divides 47124 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

Step-4: Factors of 47135

List of positive integer factors of 47135 that divides 47124 without a remainder.

1, 5, 11, 55, 857, 4285, 9427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47124 and 47135. The biggest common factor number is the GCF number.
So the greatest common factor 47124 and 47135 is 11.

Also check out the Least Common Multiple of 47124 and 47135