What is the Greatest Common Factor of 61764 and 61771?

Greatest common factor (GCF) of 61764 and 61771 is 1.

GCF(61764,61771) = 1

We will now calculate the prime factors of 61764 and 61771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61764 and 61771.

How to find the GCF of 61764 and 61771?

We will first find the prime factorization of 61764 and 61771. After we will calculate the factors of 61764 and 61771 and find the biggest common factor number .

Step-1: Prime Factorization of 61764

Prime factors of 61764 are 2, 3, 5147. Prime factorization of 61764 in exponential form is:

61764 = 2² × 3¹ × 5147¹

Step-2: Prime Factorization of 61771

Prime factors of 61771 are 223, 277. Prime factorization of 61771 in exponential form is:

61771 = 223¹ × 277¹

Step-3: Factors of 61764

List of positive integer factors of 61764 that divides 61764 without a remainder.

1, 2, 3, 4, 6, 12, 5147, 10294, 15441, 20588, 30882

Step-4: Factors of 61771

List of positive integer factors of 61771 that divides 61764 without a remainder.

1, 223, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61764 and 61771. The biggest common factor number is the GCF number.
So the greatest common factor 61764 and 61771 is 1.

Also check out the Least Common Multiple of 61764 and 61771