What is the Greatest Common Factor of 15442 and 15458?

Greatest common factor (GCF) of 15442 and 15458 is 2.

GCF(15442,15458) = 2

We will now calculate the prime factors of 15442 and 15458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15442 and 15458.

How to find the GCF of 15442 and 15458?

We will first find the prime factorization of 15442 and 15458. After we will calculate the factors of 15442 and 15458 and find the biggest common factor number .

Step-1: Prime Factorization of 15442

Prime factors of 15442 are 2, 7, 1103. Prime factorization of 15442 in exponential form is:

15442 = 2¹ × 7¹ × 1103¹

Step-2: Prime Factorization of 15458

Prime factors of 15458 are 2, 59, 131. Prime factorization of 15458 in exponential form is:

15458 = 2¹ × 59¹ × 131¹

Step-3: Factors of 15442

List of positive integer factors of 15442 that divides 15442 without a remainder.

1, 2, 7, 14, 1103, 2206, 7721

Step-4: Factors of 15458

List of positive integer factors of 15458 that divides 15442 without a remainder.

1, 2, 59, 118, 131, 262, 7729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15442 and 15458. The biggest common factor number is the GCF number.
So the greatest common factor 15442 and 15458 is 2.

Also check out the Least Common Multiple of 15442 and 15458