What is the Greatest Common Factor of 61342 and 61350?

Greatest common factor (GCF) of 61342 and 61350 is 2.

GCF(61342,61350) = 2

We will now calculate the prime factors of 61342 and 61350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61342 and 61350.

How to find the GCF of 61342 and 61350?

We will first find the prime factorization of 61342 and 61350. After we will calculate the factors of 61342 and 61350 and find the biggest common factor number .

Step-1: Prime Factorization of 61342

Prime factors of 61342 are 2, 30671. Prime factorization of 61342 in exponential form is:

61342 = 2¹ × 30671¹

Step-2: Prime Factorization of 61350

Prime factors of 61350 are 2, 3, 5, 409. Prime factorization of 61350 in exponential form is:

61350 = 2¹ × 3¹ × 5² × 409¹

Step-3: Factors of 61342

List of positive integer factors of 61342 that divides 61342 without a remainder.

1, 2, 30671

Step-4: Factors of 61350

List of positive integer factors of 61350 that divides 61342 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 409, 818, 1227, 2045, 2454, 4090, 6135, 10225, 12270, 20450, 30675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61342 and 61350. The biggest common factor number is the GCF number.
So the greatest common factor 61342 and 61350 is 2.

Also check out the Least Common Multiple of 61342 and 61350