What is the Greatest Common Factor of 61145 and 61164?

Greatest common factor (GCF) of 61145 and 61164 is 1.

GCF(61145,61164) = 1

We will now calculate the prime factors of 61145 and 61164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61145 and 61164.

How to find the GCF of 61145 and 61164?

We will first find the prime factorization of 61145 and 61164. After we will calculate the factors of 61145 and 61164 and find the biggest common factor number .

Step-1: Prime Factorization of 61145

Prime factors of 61145 are 5, 7, 1747. Prime factorization of 61145 in exponential form is:

61145 = 5¹ × 7¹ × 1747¹

Step-2: Prime Factorization of 61164

Prime factors of 61164 are 2, 3, 1699. Prime factorization of 61164 in exponential form is:

61164 = 2² × 3² × 1699¹

Step-3: Factors of 61145

List of positive integer factors of 61145 that divides 61145 without a remainder.

1, 5, 7, 35, 1747, 8735, 12229

Step-4: Factors of 61164

List of positive integer factors of 61164 that divides 61145 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1699, 3398, 5097, 6796, 10194, 15291, 20388, 30582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61145 and 61164. The biggest common factor number is the GCF number.
So the greatest common factor 61145 and 61164 is 1.

Also check out the Least Common Multiple of 61145 and 61164