What is the Greatest Common Factor of 61940 and 61959?

Greatest common factor (GCF) of 61940 and 61959 is 19.

GCF(61940,61959) = 19

We will now calculate the prime factors of 61940 and 61959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61940 and 61959.

How to find the GCF of 61940 and 61959?

We will first find the prime factorization of 61940 and 61959. After we will calculate the factors of 61940 and 61959 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 61959

Prime factors of 61959 are 3, 19, 1087. Prime factorization of 61959 in exponential form is:

61959 = 3¹ × 19¹ × 1087¹

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 61959

List of positive integer factors of 61959 that divides 61940 without a remainder.

1, 3, 19, 57, 1087, 3261, 20653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61940 and 61959. The biggest common factor number is the GCF number.
So the greatest common factor 61940 and 61959 is 19.

Also check out the Least Common Multiple of 61940 and 61959