What is the Greatest Common Factor of 61142 and 61148?

Greatest common factor (GCF) of 61142 and 61148 is 2.

GCF(61142,61148) = 2

We will now calculate the prime factors of 61142 and 61148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61142 and 61148.

How to find the GCF of 61142 and 61148?

We will first find the prime factorization of 61142 and 61148. After we will calculate the factors of 61142 and 61148 and find the biggest common factor number .

Step-1: Prime Factorization of 61142

Prime factors of 61142 are 2, 19, 1609. Prime factorization of 61142 in exponential form is:

61142 = 2¹ × 19¹ × 1609¹

Step-2: Prime Factorization of 61148

Prime factors of 61148 are 2, 15287. Prime factorization of 61148 in exponential form is:

61148 = 2² × 15287¹

Step-3: Factors of 61142

List of positive integer factors of 61142 that divides 61142 without a remainder.

1, 2, 19, 38, 1609, 3218, 30571

Step-4: Factors of 61148

List of positive integer factors of 61148 that divides 61142 without a remainder.

1, 2, 4, 15287, 30574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61142 and 61148. The biggest common factor number is the GCF number.
So the greatest common factor 61142 and 61148 is 2.

Also check out the Least Common Multiple of 61142 and 61148