What is the Greatest Common Factor of 36442 and 36449?

Greatest common factor (GCF) of 36442 and 36449 is 7.

GCF(36442,36449) = 7

We will now calculate the prime factors of 36442 and 36449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36442 and 36449.

How to find the GCF of 36442 and 36449?

We will first find the prime factorization of 36442 and 36449. After we will calculate the factors of 36442 and 36449 and find the biggest common factor number .

Step-1: Prime Factorization of 36442

Prime factors of 36442 are 2, 7, 19, 137. Prime factorization of 36442 in exponential form is:

36442 = 2¹ × 7¹ × 19¹ × 137¹

Step-2: Prime Factorization of 36449

Prime factors of 36449 are 7, 41, 127. Prime factorization of 36449 in exponential form is:

36449 = 7¹ × 41¹ × 127¹

Step-3: Factors of 36442

List of positive integer factors of 36442 that divides 36442 without a remainder.

1, 2, 7, 14, 19, 38, 133, 137, 266, 274, 959, 1918, 2603, 5206, 18221

Step-4: Factors of 36449

List of positive integer factors of 36449 that divides 36442 without a remainder.

1, 7, 41, 127, 287, 889, 5207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36442 and 36449. The biggest common factor number is the GCF number.
So the greatest common factor 36442 and 36449 is 7.

Also check out the Least Common Multiple of 36442 and 36449