What is the Greatest Common Factor of 36442 and 36457?

Greatest common factor (GCF) of 36442 and 36457 is 1.

GCF(36442,36457) = 1

We will now calculate the prime factors of 36442 and 36457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36442 and 36457.

How to find the GCF of 36442 and 36457?

We will first find the prime factorization of 36442 and 36457. After we will calculate the factors of 36442 and 36457 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 36457

Prime factors of 36457 are 36457. Prime factorization of 36457 in exponential form is:

36457 = 36457¹

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 36457

List of positive integer factors of 36457 that divides 36442 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36442 and 36457. The biggest common factor number is the GCF number.
So the greatest common factor 36442 and 36457 is 1.

Also check out the Least Common Multiple of 36442 and 36457