What is the Greatest Common Factor of 61654 and 61671?

Greatest common factor (GCF) of 61654 and 61671 is 1.

GCF(61654,61671) = 1

We will now calculate the prime factors of 61654 and 61671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61654 and 61671.

How to find the GCF of 61654 and 61671?

We will first find the prime factorization of 61654 and 61671. After we will calculate the factors of 61654 and 61671 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 61671

Prime factors of 61671 are 3, 61, 337. Prime factorization of 61671 in exponential form is:

61671 = 3¹ × 61¹ × 337¹

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 61671

List of positive integer factors of 61671 that divides 61654 without a remainder.

1, 3, 61, 183, 337, 1011, 20557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61654 and 61671. The biggest common factor number is the GCF number.
So the greatest common factor 61654 and 61671 is 1.

Also check out the Least Common Multiple of 61654 and 61671