What is the Greatest Common Factor of 61358 and 61372?

Greatest common factor (GCF) of 61358 and 61372 is 2.

GCF(61358,61372) = 2

We will now calculate the prime factors of 61358 and 61372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61358 and 61372.

How to find the GCF of 61358 and 61372?

We will first find the prime factorization of 61358 and 61372. After we will calculate the factors of 61358 and 61372 and find the biggest common factor number .

Step-1: Prime Factorization of 61358

Prime factors of 61358 are 2, 11, 2789. Prime factorization of 61358 in exponential form is:

61358 = 2¹ × 11¹ × 2789¹

Step-2: Prime Factorization of 61372

Prime factors of 61372 are 2, 67, 229. Prime factorization of 61372 in exponential form is:

61372 = 2² × 67¹ × 229¹

Step-3: Factors of 61358

List of positive integer factors of 61358 that divides 61358 without a remainder.

1, 2, 11, 22, 2789, 5578, 30679

Step-4: Factors of 61372

List of positive integer factors of 61372 that divides 61358 without a remainder.

1, 2, 4, 67, 134, 229, 268, 458, 916, 15343, 30686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61358 and 61372. The biggest common factor number is the GCF number.
So the greatest common factor 61358 and 61372 is 2.

Also check out the Least Common Multiple of 61358 and 61372