What is the Greatest Common Factor of 37123 and 37128?

Greatest common factor (GCF) of 37123 and 37128 is 1.

GCF(37123,37128) = 1

We will now calculate the prime factors of 37123 and 37128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37123 and 37128.

How to find the GCF of 37123 and 37128?

We will first find the prime factorization of 37123 and 37128. After we will calculate the factors of 37123 and 37128 and find the biggest common factor number .

Step-1: Prime Factorization of 37123

Prime factors of 37123 are 37123. Prime factorization of 37123 in exponential form is:

37123 = 37123¹

Step-2: 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-3: Factors of 37123

List of positive integer factors of 37123 that divides 37123 without a remainder.

Step-4: Factors of 37128

List of positive integer factors of 37128 that divides 37123 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37123 and 37128. The biggest common factor number is the GCF number.
So the greatest common factor 37123 and 37128 is 1.

Also check out the Least Common Multiple of 37123 and 37128