What is the Greatest Common Factor of 61654 and 61658?

Greatest common factor (GCF) of 61654 and 61658 is 2.

GCF(61654,61658) = 2

We will now calculate the prime factors of 61654 and 61658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61654 and 61658.

How to find the GCF of 61654 and 61658?

We will first find the prime factorization of 61654 and 61658. After we will calculate the factors of 61654 and 61658 and find the biggest common factor number .

Step-1: Prime Factorization of 61654

Prime factors of 61654 are 2, 29, 1063. Prime factorization of 61654 in exponential form is:

61654 = 2¹ × 29¹ × 1063¹

Step-2: Prime Factorization of 61658

Prime factors of 61658 are 2, 30829. Prime factorization of 61658 in exponential form is:

61658 = 2¹ × 30829¹

Step-3: Factors of 61654

List of positive integer factors of 61654 that divides 61654 without a remainder.

1, 2, 29, 58, 1063, 2126, 30827

Step-4: Factors of 61658

List of positive integer factors of 61658 that divides 61654 without a remainder.

1, 2, 30829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61654 and 61658. The biggest common factor number is the GCF number.
So the greatest common factor 61654 and 61658 is 2.

Also check out the Least Common Multiple of 61654 and 61658