What is the Greatest Common Factor of 61960 and 61966?

Greatest common factor (GCF) of 61960 and 61966 is 2.

GCF(61960,61966) = 2

We will now calculate the prime factors of 61960 and 61966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61960 and 61966.

How to find the GCF of 61960 and 61966?

We will first find the prime factorization of 61960 and 61966. After we will calculate the factors of 61960 and 61966 and find the biggest common factor number .

Step-1: Prime Factorization of 61960

Prime factors of 61960 are 2, 5, 1549. Prime factorization of 61960 in exponential form is:

61960 = 2³ × 5¹ × 1549¹

Step-2: Prime Factorization of 61966

Prime factors of 61966 are 2, 30983. Prime factorization of 61966 in exponential form is:

61966 = 2¹ × 30983¹

Step-3: Factors of 61960

List of positive integer factors of 61960 that divides 61960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1549, 3098, 6196, 7745, 12392, 15490, 30980

Step-4: Factors of 61966

List of positive integer factors of 61966 that divides 61960 without a remainder.

1, 2, 30983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61960 and 61966. The biggest common factor number is the GCF number.
So the greatest common factor 61960 and 61966 is 2.

Also check out the Least Common Multiple of 61960 and 61966