What is the Greatest Common Factor of 61067 and 61080?

Greatest common factor (GCF) of 61067 and 61080 is 1.

GCF(61067,61080) = 1

We will now calculate the prime factors of 61067 and 61080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61067 and 61080.

How to find the GCF of 61067 and 61080?

We will first find the prime factorization of 61067 and 61080. After we will calculate the factors of 61067 and 61080 and find the biggest common factor number .

Step-1: Prime Factorization of 61067

Prime factors of 61067 are 79, 773. Prime factorization of 61067 in exponential form is:

61067 = 79¹ × 773¹

Step-2: Prime Factorization of 61080

Prime factors of 61080 are 2, 3, 5, 509. Prime factorization of 61080 in exponential form is:

61080 = 2³ × 3¹ × 5¹ × 509¹

Step-3: Factors of 61067

List of positive integer factors of 61067 that divides 61067 without a remainder.

1, 79, 773

Step-4: Factors of 61080

List of positive integer factors of 61080 that divides 61067 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 509, 1018, 1527, 2036, 2545, 3054, 4072, 5090, 6108, 7635, 10180, 12216, 15270, 20360, 30540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61067 and 61080. The biggest common factor number is the GCF number.
So the greatest common factor 61067 and 61080 is 1.

Also check out the Least Common Multiple of 61067 and 61080