What is the Greatest Common Factor of 61006 and 61012?

Greatest common factor (GCF) of 61006 and 61012 is 2.

GCF(61006,61012) = 2

We will now calculate the prime factors of 61006 and 61012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61006 and 61012.

How to find the GCF of 61006 and 61012?

We will first find the prime factorization of 61006 and 61012. After we will calculate the factors of 61006 and 61012 and find the biggest common factor number .

Step-1: Prime Factorization of 61006

Prime factors of 61006 are 2, 11, 47, 59. Prime factorization of 61006 in exponential form is:

61006 = 2¹ × 11¹ × 47¹ × 59¹

Step-2: Prime Factorization of 61012

Prime factors of 61012 are 2, 7, 2179. Prime factorization of 61012 in exponential form is:

61012 = 2² × 7¹ × 2179¹

Step-3: Factors of 61006

List of positive integer factors of 61006 that divides 61006 without a remainder.

1, 2, 11, 22, 47, 59, 94, 118, 517, 649, 1034, 1298, 2773, 5546, 30503

Step-4: Factors of 61012

List of positive integer factors of 61012 that divides 61006 without a remainder.

1, 2, 4, 7, 14, 28, 2179, 4358, 8716, 15253, 30506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61006 and 61012. The biggest common factor number is the GCF number.
So the greatest common factor 61006 and 61012 is 2.

Also check out the Least Common Multiple of 61006 and 61012