What is the Greatest Common Factor of 61930 and 61941?

Greatest common factor (GCF) of 61930 and 61941 is 11.

GCF(61930,61941) = 11

We will now calculate the prime factors of 61930 and 61941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61930 and 61941.

How to find the GCF of 61930 and 61941?

We will first find the prime factorization of 61930 and 61941. After we will calculate the factors of 61930 and 61941 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 61941

Prime factors of 61941 are 3, 11, 1877. Prime factorization of 61941 in exponential form is:

61941 = 3¹ × 11¹ × 1877¹

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 61941

List of positive integer factors of 61941 that divides 61930 without a remainder.

1, 3, 11, 33, 1877, 5631, 20647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61930 and 61941. The biggest common factor number is the GCF number.
So the greatest common factor 61930 and 61941 is 11.

Also check out the Least Common Multiple of 61930 and 61941