What is the Greatest Common Factor of 61773 and 61780?

Greatest common factor (GCF) of 61773 and 61780 is 1.

GCF(61773,61780) = 1

We will now calculate the prime factors of 61773 and 61780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61773 and 61780.

How to find the GCF of 61773 and 61780?

We will first find the prime factorization of 61773 and 61780. After we will calculate the factors of 61773 and 61780 and find the biggest common factor number .

Step-1: Prime Factorization of 61773

Prime factors of 61773 are 3, 59, 349. Prime factorization of 61773 in exponential form is:

61773 = 3¹ × 59¹ × 349¹

Step-2: Prime Factorization of 61780

Prime factors of 61780 are 2, 5, 3089. Prime factorization of 61780 in exponential form is:

61780 = 2² × 5¹ × 3089¹

Step-3: Factors of 61773

List of positive integer factors of 61773 that divides 61773 without a remainder.

1, 3, 59, 177, 349, 1047, 20591

Step-4: Factors of 61780

List of positive integer factors of 61780 that divides 61773 without a remainder.

1, 2, 4, 5, 10, 20, 3089, 6178, 12356, 15445, 30890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61773 and 61780. The biggest common factor number is the GCF number.
So the greatest common factor 61773 and 61780 is 1.

Also check out the Least Common Multiple of 61773 and 61780