What is the Greatest Common Factor of 37108 and 37128?

Greatest common factor (GCF) of 37108 and 37128 is 4.

GCF(37108,37128) = 4

We will now calculate the prime factors of 37108 and 37128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37108 and 37128.

How to find the GCF of 37108 and 37128?

We will first find the prime factorization of 37108 and 37128. After we will calculate the factors of 37108 and 37128 and find the biggest common factor number .

Step-1: Prime Factorization of 37108

Prime factors of 37108 are 2, 9277. Prime factorization of 37108 in exponential form is:

37108 = 2² × 9277¹

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 37108

List of positive integer factors of 37108 that divides 37108 without a remainder.

1, 2, 4, 9277, 18554

Step-4: Factors of 37128

List of positive integer factors of 37128 that divides 37108 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 37108 and 37128. The biggest common factor number is the GCF number.
So the greatest common factor 37108 and 37128 is 4.

Also check out the Least Common Multiple of 37108 and 37128