What is the Greatest Common Factor of 61942 and 61960?

Greatest common factor (GCF) of 61942 and 61960 is 2.

GCF(61942,61960) = 2

We will now calculate the prime factors of 61942 and 61960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61942 and 61960.

How to find the GCF of 61942 and 61960?

We will first find the prime factorization of 61942 and 61960. After we will calculate the factors of 61942 and 61960 and find the biggest common factor number .

Step-1: Prime Factorization of 61942

Prime factors of 61942 are 2, 30971. Prime factorization of 61942 in exponential form is:

61942 = 2¹ × 30971¹

Step-2: 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-3: Factors of 61942

List of positive integer factors of 61942 that divides 61942 without a remainder.

1, 2, 30971

Step-4: Factors of 61960

List of positive integer factors of 61960 that divides 61942 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61942 and 61960. The biggest common factor number is the GCF number.
So the greatest common factor 61942 and 61960 is 2.

Also check out the Least Common Multiple of 61942 and 61960