What is the Greatest Common Factor of 61066 and 61070?

Greatest common factor (GCF) of 61066 and 61070 is 2.

GCF(61066,61070) = 2

We will now calculate the prime factors of 61066 and 61070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61066 and 61070.

How to find the GCF of 61066 and 61070?

We will first find the prime factorization of 61066 and 61070. After we will calculate the factors of 61066 and 61070 and find the biggest common factor number .

Step-1: Prime Factorization of 61066

Prime factors of 61066 are 2, 19, 1607. Prime factorization of 61066 in exponential form is:

61066 = 2¹ × 19¹ × 1607¹

Step-2: Prime Factorization of 61070

Prime factors of 61070 are 2, 5, 31, 197. Prime factorization of 61070 in exponential form is:

61070 = 2¹ × 5¹ × 31¹ × 197¹

Step-3: Factors of 61066

List of positive integer factors of 61066 that divides 61066 without a remainder.

1, 2, 19, 38, 1607, 3214, 30533

Step-4: Factors of 61070

List of positive integer factors of 61070 that divides 61066 without a remainder.

1, 2, 5, 10, 31, 62, 155, 197, 310, 394, 985, 1970, 6107, 12214, 30535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61066 and 61070. The biggest common factor number is the GCF number.
So the greatest common factor 61066 and 61070 is 2.

Also check out the Least Common Multiple of 61066 and 61070