What is the Greatest Common Factor of 61930 and 61940?

Greatest common factor (GCF) of 61930 and 61940 is 10.

GCF(61930,61940) = 10

We will now calculate the prime factors of 61930 and 61940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61930 and 61940.

How to find the GCF of 61930 and 61940?

We will first find the prime factorization of 61930 and 61940. After we will calculate the factors of 61930 and 61940 and find the biggest common factor number .

Step-1: Prime Factorization of 61930

Prime factors of 61930 are 2, 5, 11, 563. Prime factorization of 61930 in exponential form is:

61930 = 2¹ × 5¹ × 11¹ × 563¹

Step-2: 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-3: Factors of 61930

List of positive integer factors of 61930 that divides 61930 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 563, 1126, 2815, 5630, 6193, 12386, 30965

Step-4: Factors of 61940

List of positive integer factors of 61940 that divides 61930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61930 and 61940. The biggest common factor number is the GCF number.
So the greatest common factor 61930 and 61940 is 10.

Also check out the Least Common Multiple of 61930 and 61940