What is the Greatest Common Factor of 37128 and 37139?

Greatest common factor (GCF) of 37128 and 37139 is 1.

GCF(37128,37139) = 1

We will now calculate the prime factors of 37128 and 37139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37128 and 37139.

How to find the GCF of 37128 and 37139?

We will first find the prime factorization of 37128 and 37139. After we will calculate the factors of 37128 and 37139 and find the biggest common factor number .

Step-1: Prime Factorization of 37128

Prime factors of 37128 are 2, 3, 7, 13, 17. Prime factorization of 37128 in exponential form is:

37128 = 2³ × 3¹ × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 37139

Prime factors of 37139 are 37139. Prime factorization of 37139 in exponential form is:

37139 = 37139¹

Step-3: Factors of 37128

List of positive integer factors of 37128 that divides 37128 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 17, 21, 24, 26, 28, 34, 39, 42, 51, 52, 56, 68, 78, 84, 91, 102, 104, 119, 136, 156, 168, 182, 204, 221, 238, 273, 312, 357, 364, 408, 442, 476, 546, 663, 714, 728, 884, 952, 1092, 1326, 1428, 1547, 1768, 2184, 2652, 2856, 3094, 4641, 5304, 6188, 9282, 12376, 18564

Step-4: Factors of 37139

List of positive integer factors of 37139 that divides 37128 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37128 and 37139. The biggest common factor number is the GCF number.
So the greatest common factor 37128 and 37139 is 1.

Also check out the Least Common Multiple of 37128 and 37139