What is the Greatest Common Factor of 37135 and 37154?

Greatest common factor (GCF) of 37135 and 37154 is 1.

GCF(37135,37154) = 1

We will now calculate the prime factors of 37135 and 37154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37135 and 37154.

How to find the GCF of 37135 and 37154?

We will first find the prime factorization of 37135 and 37154. After we will calculate the factors of 37135 and 37154 and find the biggest common factor number .

Step-1: Prime Factorization of 37135

Prime factors of 37135 are 5, 7, 1061. Prime factorization of 37135 in exponential form is:

37135 = 5¹ × 7¹ × 1061¹

Step-2: Prime Factorization of 37154

Prime factors of 37154 are 2, 13, 1429. Prime factorization of 37154 in exponential form is:

37154 = 2¹ × 13¹ × 1429¹

Step-3: Factors of 37135

List of positive integer factors of 37135 that divides 37135 without a remainder.

1, 5, 7, 35, 1061, 5305, 7427

Step-4: Factors of 37154

List of positive integer factors of 37154 that divides 37135 without a remainder.

1, 2, 13, 26, 1429, 2858, 18577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37135 and 37154. The biggest common factor number is the GCF number.
So the greatest common factor 37135 and 37154 is 1.

Also check out the Least Common Multiple of 37135 and 37154