What is the Greatest Common Factor of 37590 and 37604?

Greatest common factor (GCF) of 37590 and 37604 is 14.

GCF(37590,37604) = 14

We will now calculate the prime factors of 37590 and 37604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37590 and 37604.

How to find the GCF of 37590 and 37604?

We will first find the prime factorization of 37590 and 37604. After we will calculate the factors of 37590 and 37604 and find the biggest common factor number .

Step-1: Prime Factorization of 37590

Prime factors of 37590 are 2, 3, 5, 7, 179. Prime factorization of 37590 in exponential form is:

37590 = 2¹ × 3¹ × 5¹ × 7¹ × 179¹

Step-2: Prime Factorization of 37604

Prime factors of 37604 are 2, 7, 17, 79. Prime factorization of 37604 in exponential form is:

37604 = 2² × 7¹ × 17¹ × 79¹

Step-3: Factors of 37590

List of positive integer factors of 37590 that divides 37590 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 179, 210, 358, 537, 895, 1074, 1253, 1790, 2506, 2685, 3759, 5370, 6265, 7518, 12530, 18795

Step-4: Factors of 37604

List of positive integer factors of 37604 that divides 37590 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 79, 119, 158, 238, 316, 476, 553, 1106, 1343, 2212, 2686, 5372, 9401, 18802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37590 and 37604. The biggest common factor number is the GCF number.
So the greatest common factor 37590 and 37604 is 14.

Also check out the Least Common Multiple of 37590 and 37604