What is the Greatest Common Factor of 37574 and 37590?

Greatest common factor (GCF) of 37574 and 37590 is 2.

GCF(37574,37590) = 2

We will now calculate the prime factors of 37574 and 37590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37574 and 37590.

How to find the GCF of 37574 and 37590?

We will first find the prime factorization of 37574 and 37590. After we will calculate the factors of 37574 and 37590 and find the biggest common factor number .

Step-1: Prime Factorization of 37574

Prime factors of 37574 are 2, 18787. Prime factorization of 37574 in exponential form is:

37574 = 2¹ × 18787¹

Step-2: 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-3: Factors of 37574

List of positive integer factors of 37574 that divides 37574 without a remainder.

1, 2, 18787

Step-4: Factors of 37590

List of positive integer factors of 37590 that divides 37574 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37574 and 37590. The biggest common factor number is the GCF number.
So the greatest common factor 37574 and 37590 is 2.

Also check out the Least Common Multiple of 37574 and 37590