What is the Greatest Common Factor of 61930 and 61936?

Greatest common factor (GCF) of 61930 and 61936 is 2.

GCF(61930,61936) = 2

We will now calculate the prime factors of 61930 and 61936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61930 and 61936.

How to find the GCF of 61930 and 61936?

We will first find the prime factorization of 61930 and 61936. After we will calculate the factors of 61930 and 61936 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 61936

Prime factors of 61936 are 2, 7, 79. Prime factorization of 61936 in exponential form is:

61936 = 2⁴ × 7² × 79¹

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 61936

List of positive integer factors of 61936 that divides 61930 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 79, 98, 112, 158, 196, 316, 392, 553, 632, 784, 1106, 1264, 2212, 3871, 4424, 7742, 8848, 15484, 30968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61930 and 61936. The biggest common factor number is the GCF number.
So the greatest common factor 61930 and 61936 is 2.

Also check out the Least Common Multiple of 61930 and 61936