What is the Greatest Common Factor of 61940 and 61958?

Greatest common factor (GCF) of 61940 and 61958 is 2.

GCF(61940,61958) = 2

We will now calculate the prime factors of 61940 and 61958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61940 and 61958.

How to find the GCF of 61940 and 61958?

We will first find the prime factorization of 61940 and 61958. After we will calculate the factors of 61940 and 61958 and find the biggest common factor number .

Step-1: Prime Factorization of 61940

Prime factors of 61940 are 2, 5, 19, 163. Prime factorization of 61940 in exponential form is:

61940 = 2² × 5¹ × 19¹ × 163¹

Step-2: Prime Factorization of 61958

Prime factors of 61958 are 2, 13, 2383. Prime factorization of 61958 in exponential form is:

61958 = 2¹ × 13¹ × 2383¹

Step-3: Factors of 61940

List of positive integer factors of 61940 that divides 61940 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 163, 190, 326, 380, 652, 815, 1630, 3097, 3260, 6194, 12388, 15485, 30970

Step-4: Factors of 61958

List of positive integer factors of 61958 that divides 61940 without a remainder.

1, 2, 13, 26, 2383, 4766, 30979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61940 and 61958. The biggest common factor number is the GCF number.
So the greatest common factor 61940 and 61958 is 2.

Also check out the Least Common Multiple of 61940 and 61958